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Finding the Third Proportional to 147,982 and 231,890

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Solution

The third proportional to 147,982 and 231,890 is: 363,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,982 : 231,890 = 231,890 : x
  2. Step 2: Convert to fraction form
    147,982/231,890 = 231,890/x
  3. Step 3: Cross multiply
    147,982x = 231,890 × 231,890
  4. Step 4: Simplify right side
    147,982x = 53,772,972,100
  5. Step 5: Solve for x
    x = 53,772,972,100/147,982
  6. Step 6: Final answer
    x = 363,375.09

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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.