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Finding the Third Proportional to 157,969.50 and 337,635

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Solution

The third proportional to 157,969.50 and 337,635 is: 721,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.50 : 337,635 = 337,635 : x
  2. Step 2: Convert to fraction form
    157,969.50/337,635 = 337,635/x
  3. Step 3: Cross multiply
    157,969.50x = 337,635 × 337,635
  4. Step 4: Simplify right side
    157,969.50x = 113,997,393,225
  5. Step 5: Solve for x
    x = 113,997,393,225/157,969.50
  6. Step 6: Final answer
    x = 721,641.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.