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Finding the Third Proportional to 120,778.50 and 262,367

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Solution

The third proportional to 120,778.50 and 262,367 is: 569,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,778.50 : 262,367 = 262,367 : x
  2. Step 2: Convert to fraction form
    120,778.50/262,367 = 262,367/x
  3. Step 3: Cross multiply
    120,778.50x = 262,367 × 262,367
  4. Step 4: Simplify right side
    120,778.50x = 68,836,442,689
  5. Step 5: Solve for x
    x = 68,836,442,689/120,778.50
  6. Step 6: Final answer
    x = 569,939.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.