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Finding the Third Proportional to 142,720 and 337,521

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Solution

The third proportional to 142,720 and 337,521 is: 798,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720 : 337,521 = 337,521 : x
  2. Step 2: Convert to fraction form
    142,720/337,521 = 337,521/x
  3. Step 3: Cross multiply
    142,720x = 337,521 × 337,521
  4. Step 4: Simplify right side
    142,720x = 113,920,425,441
  5. Step 5: Solve for x
    x = 113,920,425,441/142,720
  6. Step 6: Final answer
    x = 798,209.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.