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Finding the Third Proportional to 157,532.50 and 239,211.50

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Solution

The third proportional to 157,532.50 and 239,211.50 is: 363,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,532.50 : 239,211.50 = 239,211.50 : x
  2. Step 2: Convert to fraction form
    157,532.50/239,211.50 = 239,211.50/x
  3. Step 3: Cross multiply
    157,532.50x = 239,211.50 × 239,211.50
  4. Step 4: Simplify right side
    157,532.50x = 57,222,141,732.25
  5. Step 5: Solve for x
    x = 57,222,141,732.25/157,532.50
  6. Step 6: Final answer
    x = 363,240.23

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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.