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Finding the Third Proportional to 225,810 and 324,568.13

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Solution

The third proportional to 225,810 and 324,568.13 is: 466,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810 : 324,568.13 = 324,568.13 : x
  2. Step 2: Convert to fraction form
    225,810/324,568.13 = 324,568.13/x
  3. Step 3: Cross multiply
    225,810x = 324,568.13 × 324,568.13
  4. Step 4: Simplify right side
    225,810x = 105,344,467,766.02
  5. Step 5: Solve for x
    x = 105,344,467,766.02/225,810
  6. Step 6: Final answer
    x = 466,518.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.