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Finding the Third Proportional to 120,033 and 260,424

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Solution

The third proportional to 120,033 and 260,424 is: 565,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,033 : 260,424 = 260,424 : x
  2. Step 2: Convert to fraction form
    120,033/260,424 = 260,424/x
  3. Step 3: Cross multiply
    120,033x = 260,424 × 260,424
  4. Step 4: Simplify right side
    120,033x = 67,820,659,776
  5. Step 5: Solve for x
    x = 67,820,659,776/120,033
  6. Step 6: Final answer
    x = 565,016.79

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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.