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Finding the Third Proportional to 142,642.69 and 220,753.69

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Solution

The third proportional to 142,642.69 and 220,753.69 is: 341,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,642.69 : 220,753.69 = 220,753.69 : x
  2. Step 2: Convert to fraction form
    142,642.69/220,753.69 = 220,753.69/x
  3. Step 3: Cross multiply
    142,642.69x = 220,753.69 × 220,753.69
  4. Step 4: Simplify right side
    142,642.69x = 48,732,190,544.85
  5. Step 5: Solve for x
    x = 48,732,190,544.85/142,642.69
  6. Step 6: Final answer
    x = 341,638.20

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