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Finding the Third Proportional to 140,280 and 211,876

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Solution

The third proportional to 140,280 and 211,876 is: 320,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,280 : 211,876 = 211,876 : x
  2. Step 2: Convert to fraction form
    140,280/211,876 = 211,876/x
  3. Step 3: Cross multiply
    140,280x = 211,876 × 211,876
  4. Step 4: Simplify right side
    140,280x = 44,891,439,376
  5. Step 5: Solve for x
    x = 44,891,439,376/140,280
  6. Step 6: Final answer
    x = 320,013.11

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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.