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Finding the Third Proportional to 204,534 and 287,118

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Solution

The third proportional to 204,534 and 287,118 is: 403,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,534 : 287,118 = 287,118 : x
  2. Step 2: Convert to fraction form
    204,534/287,118 = 287,118/x
  3. Step 3: Cross multiply
    204,534x = 287,118 × 287,118
  4. Step 4: Simplify right side
    204,534x = 82,436,745,924
  5. Step 5: Solve for x
    x = 82,436,745,924/204,534
  6. Step 6: Final answer
    x = 403,046.66

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