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Finding the Third Proportional to 135,849 and 297,943

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Solution

The third proportional to 135,849 and 297,943 is: 653,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,849 : 297,943 = 297,943 : x
  2. Step 2: Convert to fraction form
    135,849/297,943 = 297,943/x
  3. Step 3: Cross multiply
    135,849x = 297,943 × 297,943
  4. Step 4: Simplify right side
    135,849x = 88,770,031,249
  5. Step 5: Solve for x
    x = 88,770,031,249/135,849
  6. Step 6: Final answer
    x = 653,446.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.