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Finding the Third Proportional to 142,642 and 220,874

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Solution

The third proportional to 142,642 and 220,874 is: 342,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642 : 220,874 = 220,874 : x
  2. Step 2: Convert to fraction form
    142,642/220,874 = 220,874/x
  3. Step 3: Cross multiply
    142,642x = 220,874 × 220,874
  4. Step 4: Simplify right side
    142,642x = 48,785,323,876
  5. Step 5: Solve for x
    x = 48,785,323,876/142,642
  6. Step 6: Final answer
    x = 342,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.