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Finding the Third Proportional to 205,992.75 and 318,322.50

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Solution

The third proportional to 205,992.75 and 318,322.50 is: 491,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.75 : 318,322.50 = 318,322.50 : x
  2. Step 2: Convert to fraction form
    205,992.75/318,322.50 = 318,322.50/x
  3. Step 3: Cross multiply
    205,992.75x = 318,322.50 × 318,322.50
  4. Step 4: Simplify right side
    205,992.75x = 101,329,214,006.25
  5. Step 5: Solve for x
    x = 101,329,214,006.25/205,992.75
  6. Step 6: Final answer
    x = 491,906.70

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