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Finding the Third Proportional to 204,038 and 286,822

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Solution

The third proportional to 204,038 and 286,822 is: 403,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038 : 286,822 = 286,822 : x
  2. Step 2: Convert to fraction form
    204,038/286,822 = 286,822/x
  3. Step 3: Cross multiply
    204,038x = 286,822 × 286,822
  4. Step 4: Simplify right side
    204,038x = 82,266,859,684
  5. Step 5: Solve for x
    x = 82,266,859,684/204,038
  6. Step 6: Final answer
    x = 403,193.82

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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.