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Finding the Third Proportional to 200,617.38 and 293,542.10

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Solution

The third proportional to 200,617.38 and 293,542.10 is: 429,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,617.38 : 293,542.10 = 293,542.10 : x
  2. Step 2: Convert to fraction form
    200,617.38/293,542.10 = 293,542.10/x
  3. Step 3: Cross multiply
    200,617.38x = 293,542.10 × 293,542.10
  4. Step 4: Simplify right side
    200,617.38x = 86,166,965,389.73
  5. Step 5: Solve for x
    x = 86,166,965,389.73/200,617.38
  6. Step 6: Final answer
    x = 429,508.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.