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Finding the Third Proportional to 157,432.50 and 339,729.75

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Solution

The third proportional to 157,432.50 and 339,729.75 is: 733,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,432.50 : 339,729.75 = 339,729.75 : x
  2. Step 2: Convert to fraction form
    157,432.50/339,729.75 = 339,729.75/x
  3. Step 3: Cross multiply
    157,432.50x = 339,729.75 × 339,729.75
  4. Step 4: Simplify right side
    157,432.50x = 115,416,303,035.06
  5. Step 5: Solve for x
    x = 115,416,303,035.06/157,432.50
  6. Step 6: Final answer
    x = 733,116.12

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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.