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Finding the Third Proportional to 150,643.13 and 206,565.19

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Solution

The third proportional to 150,643.13 and 206,565.19 is: 283,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.13 : 206,565.19 = 206,565.19 : x
  2. Step 2: Convert to fraction form
    150,643.13/206,565.19 = 206,565.19/x
  3. Step 3: Cross multiply
    150,643.13x = 206,565.19 × 206,565.19
  4. Step 4: Simplify right side
    150,643.13x = 42,669,176,686.91
  5. Step 5: Solve for x
    x = 42,669,176,686.91/150,643.13
  6. Step 6: Final answer
    x = 283,246.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.