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Finding the Third Proportional to 132,330 and 285,801

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Solution

The third proportional to 132,330 and 285,801 is: 617,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,330 : 285,801 = 285,801 : x
  2. Step 2: Convert to fraction form
    132,330/285,801 = 285,801/x
  3. Step 3: Cross multiply
    132,330x = 285,801 × 285,801
  4. Step 4: Simplify right side
    132,330x = 81,682,211,601
  5. Step 5: Solve for x
    x = 81,682,211,601/132,330
  6. Step 6: Final answer
    x = 617,261.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.