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Finding the Third Proportional to 138,781.69 and 288,469.69

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Solution

The third proportional to 138,781.69 and 288,469.69 is: 599,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,781.69 : 288,469.69 = 288,469.69 : x
  2. Step 2: Convert to fraction form
    138,781.69/288,469.69 = 288,469.69/x
  3. Step 3: Cross multiply
    138,781.69x = 288,469.69 × 288,469.69
  4. Step 4: Simplify right side
    138,781.69x = 83,214,760,606.35
  5. Step 5: Solve for x
    x = 83,214,760,606.35/138,781.69
  6. Step 6: Final answer
    x = 599,609.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.