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Finding the Third Proportional to 120,622 and 263,750

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Solution

The third proportional to 120,622 and 263,750 is: 576,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,622 : 263,750 = 263,750 : x
  2. Step 2: Convert to fraction form
    120,622/263,750 = 263,750/x
  3. Step 3: Cross multiply
    120,622x = 263,750 × 263,750
  4. Step 4: Simplify right side
    120,622x = 69,564,062,500
  5. Step 5: Solve for x
    x = 69,564,062,500/120,622
  6. Step 6: Final answer
    x = 576,711.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.