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Finding the Third Proportional to 204,311 and 286,048

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Solution

The third proportional to 204,311 and 286,048 is: 400,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,311 : 286,048 = 286,048 : x
  2. Step 2: Convert to fraction form
    204,311/286,048 = 286,048/x
  3. Step 3: Cross multiply
    204,311x = 286,048 × 286,048
  4. Step 4: Simplify right side
    204,311x = 81,823,458,304
  5. Step 5: Solve for x
    x = 81,823,458,304/204,311
  6. Step 6: Final answer
    x = 400,484.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.