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Finding the Third Proportional to 174,857.06 and 278,049.38

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Solution

The third proportional to 174,857.06 and 278,049.38 is: 442,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,857.06 : 278,049.38 = 278,049.38 : x
  2. Step 2: Convert to fraction form
    174,857.06/278,049.38 = 278,049.38/x
  3. Step 3: Cross multiply
    174,857.06x = 278,049.38 × 278,049.38
  4. Step 4: Simplify right side
    174,857.06x = 77,311,454,937.89
  5. Step 5: Solve for x
    x = 77,311,454,937.89/174,857.06
  6. Step 6: Final answer
    x = 442,140.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.