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Finding the Third Proportional to 114,645.38 and 168,444.56

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Solution

The third proportional to 114,645.38 and 168,444.56 is: 247,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,645.38 : 168,444.56 = 168,444.56 : x
  2. Step 2: Convert to fraction form
    114,645.38/168,444.56 = 168,444.56/x
  3. Step 3: Cross multiply
    114,645.38x = 168,444.56 × 168,444.56
  4. Step 4: Simplify right side
    114,645.38x = 28,373,570,635.82
  5. Step 5: Solve for x
    x = 28,373,570,635.82/114,645.38
  6. Step 6: Final answer
    x = 247,489.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.