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Finding the Third Proportional to 157,539.75 and 345,694.13

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Solution

The third proportional to 157,539.75 and 345,694.13 is: 758,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,539.75 : 345,694.13 = 345,694.13 : x
  2. Step 2: Convert to fraction form
    157,539.75/345,694.13 = 345,694.13/x
  3. Step 3: Cross multiply
    157,539.75x = 345,694.13 × 345,694.13
  4. Step 4: Simplify right side
    157,539.75x = 119,504,428,059.52
  5. Step 5: Solve for x
    x = 119,504,428,059.52/157,539.75
  6. Step 6: Final answer
    x = 758,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.