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Finding the Third Proportional to 173,422.48 and 378,277.17

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Solution

The third proportional to 173,422.48 and 378,277.17 is: 825,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,422.48 : 378,277.17 = 378,277.17 : x
  2. Step 2: Convert to fraction form
    173,422.48/378,277.17 = 378,277.17/x
  3. Step 3: Cross multiply
    173,422.48x = 378,277.17 × 378,277.17
  4. Step 4: Simplify right side
    173,422.48x = 143,093,618,761.75
  5. Step 5: Solve for x
    x = 143,093,618,761.75/173,422.48
  6. Step 6: Final answer
    x = 825,115.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.