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Finding the Third Proportional to 120,193.88 and 261,255.38

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Solution

The third proportional to 120,193.88 and 261,255.38 is: 567,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.88 : 261,255.38 = 261,255.38 : x
  2. Step 2: Convert to fraction form
    120,193.88/261,255.38 = 261,255.38/x
  3. Step 3: Cross multiply
    120,193.88x = 261,255.38 × 261,255.38
  4. Step 4: Simplify right side
    120,193.88x = 68,254,370,966.39
  5. Step 5: Solve for x
    x = 68,254,370,966.39/120,193.88
  6. Step 6: Final answer
    x = 567,868.96

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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.