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Finding the Third Proportional to 80,848.50 and 166,883

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Solution

The third proportional to 80,848.50 and 166,883 is: 344,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,848.50 : 166,883 = 166,883 : x
  2. Step 2: Convert to fraction form
    80,848.50/166,883 = 166,883/x
  3. Step 3: Cross multiply
    80,848.50x = 166,883 × 166,883
  4. Step 4: Simplify right side
    80,848.50x = 27,849,935,689
  5. Step 5: Solve for x
    x = 27,849,935,689/80,848.50
  6. Step 6: Final answer
    x = 344,470.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.