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Finding the Third Proportional to 157,928 and 231,996

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Solution

The third proportional to 157,928 and 231,996 is: 340,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,928 : 231,996 = 231,996 : x
  2. Step 2: Convert to fraction form
    157,928/231,996 = 231,996/x
  3. Step 3: Cross multiply
    157,928x = 231,996 × 231,996
  4. Step 4: Simplify right side
    157,928x = 53,822,144,016
  5. Step 5: Solve for x
    x = 53,822,144,016/157,928
  6. Step 6: Final answer
    x = 340,801.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.