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Finding the Third Proportional to 135,375 and 293,349

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Solution

The third proportional to 135,375 and 293,349 is: 635,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,375 : 293,349 = 293,349 : x
  2. Step 2: Convert to fraction form
    135,375/293,349 = 293,349/x
  3. Step 3: Cross multiply
    135,375x = 293,349 × 293,349
  4. Step 4: Simplify right side
    135,375x = 86,053,635,801
  5. Step 5: Solve for x
    x = 86,053,635,801/135,375
  6. Step 6: Final answer
    x = 635,668.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.