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Finding the Third Proportional to 171,805 and 262,151

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Solution

The third proportional to 171,805 and 262,151 is: 400,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,805 : 262,151 = 262,151 : x
  2. Step 2: Convert to fraction form
    171,805/262,151 = 262,151/x
  3. Step 3: Cross multiply
    171,805x = 262,151 × 262,151
  4. Step 4: Simplify right side
    171,805x = 68,723,146,801
  5. Step 5: Solve for x
    x = 68,723,146,801/171,805
  6. Step 6: Final answer
    x = 400,006.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.