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Finding the Third Proportional to 217,927 and 330,151

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Solution

The third proportional to 217,927 and 330,151 is: 500,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,927 : 330,151 = 330,151 : x
  2. Step 2: Convert to fraction form
    217,927/330,151 = 330,151/x
  3. Step 3: Cross multiply
    217,927x = 330,151 × 330,151
  4. Step 4: Simplify right side
    217,927x = 108,999,682,801
  5. Step 5: Solve for x
    x = 108,999,682,801/217,927
  6. Step 6: Final answer
    x = 500,166.03

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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.