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Finding the Third Proportional to 157,861.50 and 240,732

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Solution

The third proportional to 157,861.50 and 240,732 is: 367,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861.50 : 240,732 = 240,732 : x
  2. Step 2: Convert to fraction form
    157,861.50/240,732 = 240,732/x
  3. Step 3: Cross multiply
    157,861.50x = 240,732 × 240,732
  4. Step 4: Simplify right side
    157,861.50x = 57,951,895,824
  5. Step 5: Solve for x
    x = 57,951,895,824/157,861.50
  6. Step 6: Final answer
    x = 367,105.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.