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Finding the Third Proportional to 120,317 and 261,867

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Solution

The third proportional to 120,317 and 261,867 is: 569,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,317 : 261,867 = 261,867 : x
  2. Step 2: Convert to fraction form
    120,317/261,867 = 261,867/x
  3. Step 3: Cross multiply
    120,317x = 261,867 × 261,867
  4. Step 4: Simplify right side
    120,317x = 68,574,325,689
  5. Step 5: Solve for x
    x = 68,574,325,689/120,317
  6. Step 6: Final answer
    x = 569,947.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.