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Finding the Third Proportional to 173,799 and 263,151

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Solution

The third proportional to 173,799 and 263,151 is: 398,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,799 : 263,151 = 263,151 : x
  2. Step 2: Convert to fraction form
    173,799/263,151 = 263,151/x
  3. Step 3: Cross multiply
    173,799x = 263,151 × 263,151
  4. Step 4: Simplify right side
    173,799x = 69,248,448,801
  5. Step 5: Solve for x
    x = 69,248,448,801/173,799
  6. Step 6: Final answer
    x = 398,439.86

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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.