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Finding the Third Proportional to 165,205.50 and 255,602.25

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Solution

The third proportional to 165,205.50 and 255,602.25 is: 395,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,205.50 : 255,602.25 = 255,602.25 : x
  2. Step 2: Convert to fraction form
    165,205.50/255,602.25 = 255,602.25/x
  3. Step 3: Cross multiply
    165,205.50x = 255,602.25 × 255,602.25
  4. Step 4: Simplify right side
    165,205.50x = 65,332,510,205.06
  5. Step 5: Solve for x
    x = 65,332,510,205.06/165,205.50
  6. Step 6: Final answer
    x = 395,462.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.