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Finding the Third Proportional to 147,971 and 231,873

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Solution

The third proportional to 147,971 and 231,873 is: 363,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,971 : 231,873 = 231,873 : x
  2. Step 2: Convert to fraction form
    147,971/231,873 = 231,873/x
  3. Step 3: Cross multiply
    147,971x = 231,873 × 231,873
  4. Step 4: Simplify right side
    147,971x = 53,765,088,129
  5. Step 5: Solve for x
    x = 53,765,088,129/147,971
  6. Step 6: Final answer
    x = 363,348.82

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Why These Related Problems?

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