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Finding the Third Proportional to 158,681.25 and 231,943.13

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Solution

The third proportional to 158,681.25 and 231,943.13 is: 339,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,681.25 : 231,943.13 = 231,943.13 : x
  2. Step 2: Convert to fraction form
    158,681.25/231,943.13 = 231,943.13/x
  3. Step 3: Cross multiply
    158,681.25x = 231,943.13 × 231,943.13
  4. Step 4: Simplify right side
    158,681.25x = 53,797,613,234.77
  5. Step 5: Solve for x
    x = 53,797,613,234.77/158,681.25
  6. Step 6: Final answer
    x = 339,029.43

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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.