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Finding the Third Proportional to 171,306.75 and 261,005.63

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Solution

The third proportional to 171,306.75 and 261,005.63 is: 397,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,306.75 : 261,005.63 = 261,005.63 : x
  2. Step 2: Convert to fraction form
    171,306.75/261,005.63 = 261,005.63/x
  3. Step 3: Cross multiply
    171,306.75x = 261,005.63 × 261,005.63
  4. Step 4: Simplify right side
    171,306.75x = 68,123,936,281.64
  5. Step 5: Solve for x
    x = 68,123,936,281.64/171,306.75
  6. Step 6: Final answer
    x = 397,672.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.