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Finding the Third Proportional to 142,722 and 337,526

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Solution

The third proportional to 142,722 and 337,526 is: 798,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722 : 337,526 = 337,526 : x
  2. Step 2: Convert to fraction form
    142,722/337,526 = 337,526/x
  3. Step 3: Cross multiply
    142,722x = 337,526 × 337,526
  4. Step 4: Simplify right side
    142,722x = 113,923,800,676
  5. Step 5: Solve for x
    x = 113,923,800,676/142,722
  6. Step 6: Final answer
    x = 798,221.72

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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.