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Finding the Third Proportional to 162,779 and 244,002

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Solution

The third proportional to 162,779 and 244,002 is: 365,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,779 : 244,002 = 244,002 : x
  2. Step 2: Convert to fraction form
    162,779/244,002 = 244,002/x
  3. Step 3: Cross multiply
    162,779x = 244,002 × 244,002
  4. Step 4: Simplify right side
    162,779x = 59,536,976,004
  5. Step 5: Solve for x
    x = 59,536,976,004/162,779
  6. Step 6: Final answer
    x = 365,753.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.