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Finding the Third Proportional to 206,695.13 and 310,044.38

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Solution

The third proportional to 206,695.13 and 310,044.38 is: 465,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.13 : 310,044.38 = 310,044.38 : x
  2. Step 2: Convert to fraction form
    206,695.13/310,044.38 = 310,044.38/x
  3. Step 3: Cross multiply
    206,695.13x = 310,044.38 × 310,044.38
  4. Step 4: Simplify right side
    206,695.13x = 96,127,514,469.14
  5. Step 5: Solve for x
    x = 96,127,514,469.14/206,695.13
  6. Step 6: Final answer
    x = 465,069.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.