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Finding the Third Proportional to 165,627.50 and 357,481

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Solution

The third proportional to 165,627.50 and 357,481 is: 771,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,627.50 : 357,481 = 357,481 : x
  2. Step 2: Convert to fraction form
    165,627.50/357,481 = 357,481/x
  3. Step 3: Cross multiply
    165,627.50x = 357,481 × 357,481
  4. Step 4: Simplify right side
    165,627.50x = 127,792,665,361
  5. Step 5: Solve for x
    x = 127,792,665,361/165,627.50
  6. Step 6: Final answer
    x = 771,566.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.