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Finding the Third Proportional to 169,049.25 and 261,622.13

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Solution

The third proportional to 169,049.25 and 261,622.13 is: 404,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,049.25 : 261,622.13 = 261,622.13 : x
  2. Step 2: Convert to fraction form
    169,049.25/261,622.13 = 261,622.13/x
  3. Step 3: Cross multiply
    169,049.25x = 261,622.13 × 261,622.13
  4. Step 4: Simplify right side
    169,049.25x = 68,446,136,289.52
  5. Step 5: Solve for x
    x = 68,446,136,289.52/169,049.25
  6. Step 6: Final answer
    x = 404,888.73

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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.