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Finding the Third Proportional to 204,031 and 286,811

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Solution

The third proportional to 204,031 and 286,811 is: 403,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,031 : 286,811 = 286,811 : x
  2. Step 2: Convert to fraction form
    204,031/286,811 = 286,811/x
  3. Step 3: Cross multiply
    204,031x = 286,811 × 286,811
  4. Step 4: Simplify right side
    204,031x = 82,260,549,721
  5. Step 5: Solve for x
    x = 82,260,549,721/204,031
  6. Step 6: Final answer
    x = 403,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.