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Finding the Third Proportional to 158,782 and 246,921

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Solution

The third proportional to 158,782 and 246,921 is: 383,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782 : 246,921 = 246,921 : x
  2. Step 2: Convert to fraction form
    158,782/246,921 = 246,921/x
  3. Step 3: Cross multiply
    158,782x = 246,921 × 246,921
  4. Step 4: Simplify right side
    158,782x = 60,969,980,241
  5. Step 5: Solve for x
    x = 60,969,980,241/158,782
  6. Step 6: Final answer
    x = 383,985.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.