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Finding the Third Proportional to 120,676 and 252,368

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Solution

The third proportional to 120,676 and 252,368 is: 527,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,676 : 252,368 = 252,368 : x
  2. Step 2: Convert to fraction form
    120,676/252,368 = 252,368/x
  3. Step 3: Cross multiply
    120,676x = 252,368 × 252,368
  4. Step 4: Simplify right side
    120,676x = 63,689,607,424
  5. Step 5: Solve for x
    x = 63,689,607,424/120,676
  6. Step 6: Final answer
    x = 527,773.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.