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Finding the Third Proportional to 119,847 and 260,611

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Solution

The third proportional to 119,847 and 260,611 is: 566,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,847 : 260,611 = 260,611 : x
  2. Step 2: Convert to fraction form
    119,847/260,611 = 260,611/x
  3. Step 3: Cross multiply
    119,847x = 260,611 × 260,611
  4. Step 4: Simplify right side
    119,847x = 67,918,093,321
  5. Step 5: Solve for x
    x = 67,918,093,321/119,847
  6. Step 6: Final answer
    x = 566,706.66

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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.