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Finding the Third Proportional to 204,490.13 and 323,651.25

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Solution

The third proportional to 204,490.13 and 323,651.25 is: 512,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,490.13 : 323,651.25 = 323,651.25 : x
  2. Step 2: Convert to fraction form
    204,490.13/323,651.25 = 323,651.25/x
  3. Step 3: Cross multiply
    204,490.13x = 323,651.25 × 323,651.25
  4. Step 4: Simplify right side
    204,490.13x = 104,750,131,626.56
  5. Step 5: Solve for x
    x = 104,750,131,626.56/204,490.13
  6. Step 6: Final answer
    x = 512,250.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.