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Finding the Third Proportional to 227,743.13 and 324,425.25

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Solution

The third proportional to 227,743.13 and 324,425.25 is: 462,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,743.13 : 324,425.25 = 324,425.25 : x
  2. Step 2: Convert to fraction form
    227,743.13/324,425.25 = 324,425.25/x
  3. Step 3: Cross multiply
    227,743.13x = 324,425.25 × 324,425.25
  4. Step 4: Simplify right side
    227,743.13x = 105,251,742,837.56
  5. Step 5: Solve for x
    x = 105,251,742,837.56/227,743.13
  6. Step 6: Final answer
    x = 462,151.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.