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Finding the Third Proportional to 204,813 and 318,003

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Solution

The third proportional to 204,813 and 318,003 is: 493,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,813 : 318,003 = 318,003 : x
  2. Step 2: Convert to fraction form
    204,813/318,003 = 318,003/x
  3. Step 3: Cross multiply
    204,813x = 318,003 × 318,003
  4. Step 4: Simplify right side
    204,813x = 101,125,908,009
  5. Step 5: Solve for x
    x = 101,125,908,009/204,813
  6. Step 6: Final answer
    x = 493,747.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.