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Finding the Third Proportional to 204,024 and 286,801

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Solution

The third proportional to 204,024 and 286,801 is: 403,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024 : 286,801 = 286,801 : x
  2. Step 2: Convert to fraction form
    204,024/286,801 = 286,801/x
  3. Step 3: Cross multiply
    204,024x = 286,801 × 286,801
  4. Step 4: Simplify right side
    204,024x = 82,254,813,601
  5. Step 5: Solve for x
    x = 82,254,813,601/204,024
  6. Step 6: Final answer
    x = 403,162.44

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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.