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Finding the Third Proportional to 173,801 and 263,154

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Solution

The third proportional to 173,801 and 263,154 is: 398,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,801 : 263,154 = 263,154 : x
  2. Step 2: Convert to fraction form
    173,801/263,154 = 263,154/x
  3. Step 3: Cross multiply
    173,801x = 263,154 × 263,154
  4. Step 4: Simplify right side
    173,801x = 69,250,027,716
  5. Step 5: Solve for x
    x = 69,250,027,716/173,801
  6. Step 6: Final answer
    x = 398,444.36

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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.