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Finding the Third Proportional to 150,641.44 and 206,565.19

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Solution

The third proportional to 150,641.44 and 206,565.19 is: 283,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,641.44 : 206,565.19 = 206,565.19 : x
  2. Step 2: Convert to fraction form
    150,641.44/206,565.19 = 206,565.19/x
  3. Step 3: Cross multiply
    150,641.44x = 206,565.19 × 206,565.19
  4. Step 4: Simplify right side
    150,641.44x = 42,669,176,686.91
  5. Step 5: Solve for x
    x = 42,669,176,686.91/150,641.44
  6. Step 6: Final answer
    x = 283,249.93

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Why These Related Problems?

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