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Finding the Third Proportional to 204,361.50 and 318,959.25

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Solution

The third proportional to 204,361.50 and 318,959.25 is: 497,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,361.50 : 318,959.25 = 318,959.25 : x
  2. Step 2: Convert to fraction form
    204,361.50/318,959.25 = 318,959.25/x
  3. Step 3: Cross multiply
    204,361.50x = 318,959.25 × 318,959.25
  4. Step 4: Simplify right side
    204,361.50x = 101,735,003,160.56
  5. Step 5: Solve for x
    x = 101,735,003,160.56/204,361.50
  6. Step 6: Final answer
    x = 497,818.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.