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Finding the Third Proportional to 171,122.25 and 266,016.75

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Solution

The third proportional to 171,122.25 and 266,016.75 is: 413,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,122.25 : 266,016.75 = 266,016.75 : x
  2. Step 2: Convert to fraction form
    171,122.25/266,016.75 = 266,016.75/x
  3. Step 3: Cross multiply
    171,122.25x = 266,016.75 × 266,016.75
  4. Step 4: Simplify right side
    171,122.25x = 70,764,911,280.56
  5. Step 5: Solve for x
    x = 70,764,911,280.56/171,122.25
  6. Step 6: Final answer
    x = 413,534.25

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Why These Related Problems?

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