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Finding the Third Proportional to 202,184 and 313,934

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Solution

The third proportional to 202,184 and 313,934 is: 487,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,184 : 313,934 = 313,934 : x
  2. Step 2: Convert to fraction form
    202,184/313,934 = 313,934/x
  3. Step 3: Cross multiply
    202,184x = 313,934 × 313,934
  4. Step 4: Simplify right side
    202,184x = 98,554,556,356
  5. Step 5: Solve for x
    x = 98,554,556,356/202,184
  6. Step 6: Final answer
    x = 487,449.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.