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Finding the Third Proportional to 204,022 and 286,798

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Solution

The third proportional to 204,022 and 286,798 is: 403,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022 : 286,798 = 286,798 : x
  2. Step 2: Convert to fraction form
    204,022/286,798 = 286,798/x
  3. Step 3: Cross multiply
    204,022x = 286,798 × 286,798
  4. Step 4: Simplify right side
    204,022x = 82,253,092,804
  5. Step 5: Solve for x
    x = 82,253,092,804/204,022
  6. Step 6: Final answer
    x = 403,157.96

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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.