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Finding the Third Proportional to 135,377 and 293,353

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Solution

The third proportional to 135,377 and 293,353 is: 635,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,377 : 293,353 = 293,353 : x
  2. Step 2: Convert to fraction form
    135,377/293,353 = 293,353/x
  3. Step 3: Cross multiply
    135,377x = 293,353 × 293,353
  4. Step 4: Simplify right side
    135,377x = 86,055,982,609
  5. Step 5: Solve for x
    x = 86,055,982,609/135,377
  6. Step 6: Final answer
    x = 635,676.54

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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.