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Finding the Third Proportional to 204,746 and 315,866

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Solution

The third proportional to 204,746 and 315,866 is: 487,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,746 : 315,866 = 315,866 : x
  2. Step 2: Convert to fraction form
    204,746/315,866 = 315,866/x
  3. Step 3: Cross multiply
    204,746x = 315,866 × 315,866
  4. Step 4: Simplify right side
    204,746x = 99,771,329,956
  5. Step 5: Solve for x
    x = 99,771,329,956/204,746
  6. Step 6: Final answer
    x = 487,293.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.