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Finding the Third Proportional to 142,649 and 220,760

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Solution

The third proportional to 142,649 and 220,760 is: 341,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649 : 220,760 = 220,760 : x
  2. Step 2: Convert to fraction form
    142,649/220,760 = 220,760/x
  3. Step 3: Cross multiply
    142,649x = 220,760 × 220,760
  4. Step 4: Simplify right side
    142,649x = 48,734,977,600
  5. Step 5: Solve for x
    x = 48,734,977,600/142,649
  6. Step 6: Final answer
    x = 341,642.62

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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.