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Finding the Third Proportional to 165,752.50 and 254,921.50

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Solution

The third proportional to 165,752.50 and 254,921.50 is: 392,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752.50 : 254,921.50 = 254,921.50 : x
  2. Step 2: Convert to fraction form
    165,752.50/254,921.50 = 254,921.50/x
  3. Step 3: Cross multiply
    165,752.50x = 254,921.50 × 254,921.50
  4. Step 4: Simplify right side
    165,752.50x = 64,984,971,162.25
  5. Step 5: Solve for x
    x = 64,984,971,162.25/165,752.50
  6. Step 6: Final answer
    x = 392,060.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.