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Finding the Third Proportional to 120,285 and 260,982

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Solution

The third proportional to 120,285 and 260,982 is: 566,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,285 : 260,982 = 260,982 : x
  2. Step 2: Convert to fraction form
    120,285/260,982 = 260,982/x
  3. Step 3: Cross multiply
    120,285x = 260,982 × 260,982
  4. Step 4: Simplify right side
    120,285x = 68,111,604,324
  5. Step 5: Solve for x
    x = 68,111,604,324/120,285
  6. Step 6: Final answer
    x = 566,251.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.