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Finding the Third Proportional to 147,962 and 231,860

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Solution

The third proportional to 147,962 and 231,860 is: 363,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,962 : 231,860 = 231,860 : x
  2. Step 2: Convert to fraction form
    147,962/231,860 = 231,860/x
  3. Step 3: Cross multiply
    147,962x = 231,860 × 231,860
  4. Step 4: Simplify right side
    147,962x = 53,759,059,600
  5. Step 5: Solve for x
    x = 53,759,059,600/147,962
  6. Step 6: Final answer
    x = 363,330.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.