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Finding the Third Proportional to 150,356.25 and 324,217.13

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Solution

The third proportional to 150,356.25 and 324,217.13 is: 699,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,356.25 : 324,217.13 = 324,217.13 : x
  2. Step 2: Convert to fraction form
    150,356.25/324,217.13 = 324,217.13/x
  3. Step 3: Cross multiply
    150,356.25x = 324,217.13 × 324,217.13
  4. Step 4: Simplify right side
    150,356.25x = 105,116,744,143.27
  5. Step 5: Solve for x
    x = 105,116,744,143.27/150,356.25
  6. Step 6: Final answer
    x = 699,117.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.