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Finding the Third Proportional to 120,594 and 261,940

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Solution

The third proportional to 120,594 and 261,940 is: 568,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594 : 261,940 = 261,940 : x
  2. Step 2: Convert to fraction form
    120,594/261,940 = 261,940/x
  3. Step 3: Cross multiply
    120,594x = 261,940 × 261,940
  4. Step 4: Simplify right side
    120,594x = 68,612,563,600
  5. Step 5: Solve for x
    x = 68,612,563,600/120,594
  6. Step 6: Final answer
    x = 568,955.04

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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.