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Finding the Third Proportional to 173,424 and 378,360

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Solution

The third proportional to 173,424 and 378,360 is: 825,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,424 : 378,360 = 378,360 : x
  2. Step 2: Convert to fraction form
    173,424/378,360 = 378,360/x
  3. Step 3: Cross multiply
    173,424x = 378,360 × 378,360
  4. Step 4: Simplify right side
    173,424x = 143,156,289,600
  5. Step 5: Solve for x
    x = 143,156,289,600/173,424
  6. Step 6: Final answer
    x = 825,469.89

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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.