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Finding the Third Proportional to 204,683 and 315,771

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Solution

The third proportional to 204,683 and 315,771 is: 487,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,683 : 315,771 = 315,771 : x
  2. Step 2: Convert to fraction form
    204,683/315,771 = 315,771/x
  3. Step 3: Cross multiply
    204,683x = 315,771 × 315,771
  4. Step 4: Simplify right side
    204,683x = 99,711,324,441
  5. Step 5: Solve for x
    x = 99,711,324,441/204,683
  6. Step 6: Final answer
    x = 487,150.00

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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.