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Finding the Third Proportional to 120,080 and 260,508

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Solution

The third proportional to 120,080 and 260,508 is: 565,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,080 : 260,508 = 260,508 : x
  2. Step 2: Convert to fraction form
    120,080/260,508 = 260,508/x
  3. Step 3: Cross multiply
    120,080x = 260,508 × 260,508
  4. Step 4: Simplify right side
    120,080x = 67,864,418,064
  5. Step 5: Solve for x
    x = 67,864,418,064/120,080
  6. Step 6: Final answer
    x = 565,160.04

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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.