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Finding the Third Proportional to 120,680 and 244,596

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Solution

The third proportional to 120,680 and 244,596 is: 495,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,680 : 244,596 = 244,596 : x
  2. Step 2: Convert to fraction form
    120,680/244,596 = 244,596/x
  3. Step 3: Cross multiply
    120,680x = 244,596 × 244,596
  4. Step 4: Simplify right side
    120,680x = 59,827,203,216
  5. Step 5: Solve for x
    x = 59,827,203,216/120,680
  6. Step 6: Final answer
    x = 495,750.77

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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.