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Finding the Third Proportional to 120,682 and 244,597

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Solution

The third proportional to 120,682 and 244,597 is: 495,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,682 : 244,597 = 244,597 : x
  2. Step 2: Convert to fraction form
    120,682/244,597 = 244,597/x
  3. Step 3: Cross multiply
    120,682x = 244,597 × 244,597
  4. Step 4: Simplify right side
    120,682x = 59,827,692,409
  5. Step 5: Solve for x
    x = 59,827,692,409/120,682
  6. Step 6: Final answer
    x = 495,746.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.