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Finding the Third Proportional to 170,565.75 and 266,766.75

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Solution

The third proportional to 170,565.75 and 266,766.75 is: 417,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,565.75 : 266,766.75 = 266,766.75 : x
  2. Step 2: Convert to fraction form
    170,565.75/266,766.75 = 266,766.75/x
  3. Step 3: Cross multiply
    170,565.75x = 266,766.75 × 266,766.75
  4. Step 4: Simplify right side
    170,565.75x = 71,164,498,905.56
  5. Step 5: Solve for x
    x = 71,164,498,905.56/170,565.75
  6. Step 6: Final answer
    x = 417,226.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.