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Finding the Third Proportional to 120,694 and 260,810

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Solution

The third proportional to 120,694 and 260,810 is: 563,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694 : 260,810 = 260,810 : x
  2. Step 2: Convert to fraction form
    120,694/260,810 = 260,810/x
  3. Step 3: Cross multiply
    120,694x = 260,810 × 260,810
  4. Step 4: Simplify right side
    120,694x = 68,021,856,100
  5. Step 5: Solve for x
    x = 68,021,856,100/120,694
  6. Step 6: Final answer
    x = 563,589.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.