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Finding the Third Proportional to 169,277 and 367,711

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Solution

The third proportional to 169,277 and 367,711 is: 798,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,277 : 367,711 = 367,711 : x
  2. Step 2: Convert to fraction form
    169,277/367,711 = 367,711/x
  3. Step 3: Cross multiply
    169,277x = 367,711 × 367,711
  4. Step 4: Simplify right side
    169,277x = 135,211,379,521
  5. Step 5: Solve for x
    x = 135,211,379,521/169,277
  6. Step 6: Final answer
    x = 798,758.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.