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Finding the Third Proportional to 185,348.25 and 399,552.75

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Solution

The third proportional to 185,348.25 and 399,552.75 is: 861,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,348.25 : 399,552.75 = 399,552.75 : x
  2. Step 2: Convert to fraction form
    185,348.25/399,552.75 = 399,552.75/x
  3. Step 3: Cross multiply
    185,348.25x = 399,552.75 × 399,552.75
  4. Step 4: Simplify right side
    185,348.25x = 159,642,400,032.56
  5. Step 5: Solve for x
    x = 159,642,400,032.56/185,348.25
  6. Step 6: Final answer
    x = 861,310.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.