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Finding the Third Proportional to 107,438 and 232,588

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Solution

The third proportional to 107,438 and 232,588 is: 503,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438 : 232,588 = 232,588 : x
  2. Step 2: Convert to fraction form
    107,438/232,588 = 232,588/x
  3. Step 3: Cross multiply
    107,438x = 232,588 × 232,588
  4. Step 4: Simplify right side
    107,438x = 54,097,177,744
  5. Step 5: Solve for x
    x = 54,097,177,744/107,438
  6. Step 6: Final answer
    x = 503,519.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.