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Finding the Third Proportional to 163,801 and 246,856

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Solution

The third proportional to 163,801 and 246,856 is: 372,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,801 : 246,856 = 246,856 : x
  2. Step 2: Convert to fraction form
    163,801/246,856 = 246,856/x
  3. Step 3: Cross multiply
    163,801x = 246,856 × 246,856
  4. Step 4: Simplify right side
    163,801x = 60,937,884,736
  5. Step 5: Solve for x
    x = 60,937,884,736/163,801
  6. Step 6: Final answer
    x = 372,023.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.