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Finding the Third Proportional to 158,589.38 and 245,943.75

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Solution

The third proportional to 158,589.38 and 245,943.75 is: 381,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,589.38 : 245,943.75 = 245,943.75 : x
  2. Step 2: Convert to fraction form
    158,589.38/245,943.75 = 245,943.75/x
  3. Step 3: Cross multiply
    158,589.38x = 245,943.75 × 245,943.75
  4. Step 4: Simplify right side
    158,589.38x = 60,488,328,164.06
  5. Step 5: Solve for x
    x = 60,488,328,164.06/158,589.38
  6. Step 6: Final answer
    x = 381,414.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.