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Finding the Third Proportional to 120,336 and 260,760

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Solution

The third proportional to 120,336 and 260,760 is: 565,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,336 : 260,760 = 260,760 : x
  2. Step 2: Convert to fraction form
    120,336/260,760 = 260,760/x
  3. Step 3: Cross multiply
    120,336x = 260,760 × 260,760
  4. Step 4: Simplify right side
    120,336x = 67,995,777,600
  5. Step 5: Solve for x
    x = 67,995,777,600/120,336
  6. Step 6: Final answer
    x = 565,049.34

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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.