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Finding the Third Proportional to 158,568 and 242,874

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Solution

The third proportional to 158,568 and 242,874 is: 372,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,568 : 242,874 = 242,874 : x
  2. Step 2: Convert to fraction form
    158,568/242,874 = 242,874/x
  3. Step 3: Cross multiply
    158,568x = 242,874 × 242,874
  4. Step 4: Simplify right side
    158,568x = 58,987,779,876
  5. Step 5: Solve for x
    x = 58,987,779,876/158,568
  6. Step 6: Final answer
    x = 372,003.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.