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Finding the Third Proportional to 207,083.25 and 327,310.88

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Solution

The third proportional to 207,083.25 and 327,310.88 is: 517,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,083.25 : 327,310.88 = 327,310.88 : x
  2. Step 2: Convert to fraction form
    207,083.25/327,310.88 = 327,310.88/x
  3. Step 3: Cross multiply
    207,083.25x = 327,310.88 × 327,310.88
  4. Step 4: Simplify right side
    207,083.25x = 107,132,408,893.27
  5. Step 5: Solve for x
    x = 107,132,408,893.27/207,083.25
  6. Step 6: Final answer
    x = 517,339.81

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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.