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Finding the Third Proportional to 140,882 and 206,265

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Solution

The third proportional to 140,882 and 206,265 is: 301,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882 : 206,265 = 206,265 : x
  2. Step 2: Convert to fraction form
    140,882/206,265 = 206,265/x
  3. Step 3: Cross multiply
    140,882x = 206,265 × 206,265
  4. Step 4: Simplify right side
    140,882x = 42,545,250,225
  5. Step 5: Solve for x
    x = 42,545,250,225/140,882
  6. Step 6: Final answer
    x = 301,992.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.