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Finding the Third Proportional to 120,662 and 260,024

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Solution

The third proportional to 120,662 and 260,024 is: 560,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,662 : 260,024 = 260,024 : x
  2. Step 2: Convert to fraction form
    120,662/260,024 = 260,024/x
  3. Step 3: Cross multiply
    120,662x = 260,024 × 260,024
  4. Step 4: Simplify right side
    120,662x = 67,612,480,576
  5. Step 5: Solve for x
    x = 67,612,480,576/120,662
  6. Step 6: Final answer
    x = 560,346.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.