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Finding the Third Proportional to 204,046 and 286,834

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Solution

The third proportional to 204,046 and 286,834 is: 403,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046 : 286,834 = 286,834 : x
  2. Step 2: Convert to fraction form
    204,046/286,834 = 286,834/x
  3. Step 3: Cross multiply
    204,046x = 286,834 × 286,834
  4. Step 4: Simplify right side
    204,046x = 82,273,743,556
  5. Step 5: Solve for x
    x = 82,273,743,556/204,046
  6. Step 6: Final answer
    x = 403,211.74

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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.