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Finding the Third Proportional to 169,161.75 and 245,747.25

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Solution

The third proportional to 169,161.75 and 245,747.25 is: 357,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,161.75 : 245,747.25 = 245,747.25 : x
  2. Step 2: Convert to fraction form
    169,161.75/245,747.25 = 245,747.25/x
  3. Step 3: Cross multiply
    169,161.75x = 245,747.25 × 245,747.25
  4. Step 4: Simplify right side
    169,161.75x = 60,391,710,882.56
  5. Step 5: Solve for x
    x = 60,391,710,882.56/169,161.75
  6. Step 6: Final answer
    x = 357,005.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.