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Finding the Third Proportional to 173,836.13 and 269,023.78

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Solution

The third proportional to 173,836.13 and 269,023.78 is: 416,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,836.13 : 269,023.78 = 269,023.78 : x
  2. Step 2: Convert to fraction form
    173,836.13/269,023.78 = 269,023.78/x
  3. Step 3: Cross multiply
    173,836.13x = 269,023.78 × 269,023.78
  4. Step 4: Simplify right side
    173,836.13x = 72,373,794,878.05
  5. Step 5: Solve for x
    x = 72,373,794,878.05/173,836.13
  6. Step 6: Final answer
    x = 416,333.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.