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Finding the Third Proportional to 269,424.56 and 404,175.66

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Solution

The third proportional to 269,424.56 and 404,175.66 is: 606,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424.56 : 404,175.66 = 404,175.66 : x
  2. Step 2: Convert to fraction form
    269,424.56/404,175.66 = 404,175.66/x
  3. Step 3: Cross multiply
    269,424.56x = 404,175.66 × 404,175.66
  4. Step 4: Simplify right side
    269,424.56x = 163,357,961,105.12
  5. Step 5: Solve for x
    x = 163,357,961,105.12/269,424.56
  6. Step 6: Final answer
    x = 606,321.71

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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.