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Finding the Third Proportional to 135,801 and 211,466

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Solution

The third proportional to 135,801 and 211,466 is: 329,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,801 : 211,466 = 211,466 : x
  2. Step 2: Convert to fraction form
    135,801/211,466 = 211,466/x
  3. Step 3: Cross multiply
    135,801x = 211,466 × 211,466
  4. Step 4: Simplify right side
    135,801x = 44,717,869,156
  5. Step 5: Solve for x
    x = 44,717,869,156/135,801
  6. Step 6: Final answer
    x = 329,289.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.