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Finding the Third Proportional to 80,290 and 166,952

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Solution

The third proportional to 80,290 and 166,952 is: 347,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,290 : 166,952 = 166,952 : x
  2. Step 2: Convert to fraction form
    80,290/166,952 = 166,952/x
  3. Step 3: Cross multiply
    80,290x = 166,952 × 166,952
  4. Step 4: Simplify right side
    80,290x = 27,872,970,304
  5. Step 5: Solve for x
    x = 27,872,970,304/80,290
  6. Step 6: Final answer
    x = 347,153.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.