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Finding the Third Proportional to 167,842.13 and 345,520.69

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Solution

The third proportional to 167,842.13 and 345,520.69 is: 711,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,842.13 : 345,520.69 = 345,520.69 : x
  2. Step 2: Convert to fraction form
    167,842.13/345,520.69 = 345,520.69/x
  3. Step 3: Cross multiply
    167,842.13x = 345,520.69 × 345,520.69
  4. Step 4: Simplify right side
    167,842.13x = 119,384,545,490.47
  5. Step 5: Solve for x
    x = 119,384,545,490.47/167,842.13
  6. Step 6: Final answer
    x = 711,290.72

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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.