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Finding the Third Proportional to 165,544.50 and 262,308.75

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Solution

The third proportional to 165,544.50 and 262,308.75 is: 415,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,544.50 : 262,308.75 = 262,308.75 : x
  2. Step 2: Convert to fraction form
    165,544.50/262,308.75 = 262,308.75/x
  3. Step 3: Cross multiply
    165,544.50x = 262,308.75 × 262,308.75
  4. Step 4: Simplify right side
    165,544.50x = 68,805,880,326.56
  5. Step 5: Solve for x
    x = 68,805,880,326.56/165,544.50
  6. Step 6: Final answer
    x = 415,633.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.