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Finding the Third Proportional to 141,517.13 and 206,443.69

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Solution

The third proportional to 141,517.13 and 206,443.69 is: 301,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,517.13 : 206,443.69 = 206,443.69 : x
  2. Step 2: Convert to fraction form
    141,517.13/206,443.69 = 206,443.69/x
  3. Step 3: Cross multiply
    141,517.13x = 206,443.69 × 206,443.69
  4. Step 4: Simplify right side
    141,517.13x = 42,618,996,108.60
  5. Step 5: Solve for x
    x = 42,618,996,108.60/141,517.13
  6. Step 6: Final answer
    x = 301,157.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.