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Finding the Third Proportional to 147,806.81 and 225,400.69

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Solution

The third proportional to 147,806.81 and 225,400.69 is: 343,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806.81 : 225,400.69 = 225,400.69 : x
  2. Step 2: Convert to fraction form
    147,806.81/225,400.69 = 225,400.69/x
  3. Step 3: Cross multiply
    147,806.81x = 225,400.69 × 225,400.69
  4. Step 4: Simplify right side
    147,806.81x = 50,805,469,925.47
  5. Step 5: Solve for x
    x = 50,805,469,925.47/147,806.81
  6. Step 6: Final answer
    x = 343,728.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.