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Finding the Third Proportional to 147,540.38 and 316,117.13

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Solution

The third proportional to 147,540.38 and 316,117.13 is: 677,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,540.38 : 316,117.13 = 316,117.13 : x
  2. Step 2: Convert to fraction form
    147,540.38/316,117.13 = 316,117.13/x
  3. Step 3: Cross multiply
    147,540.38x = 316,117.13 × 316,117.13
  4. Step 4: Simplify right side
    147,540.38x = 99,930,036,718.27
  5. Step 5: Solve for x
    x = 99,930,036,718.27/147,540.38
  6. Step 6: Final answer
    x = 677,306.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.