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Finding the Third Proportional to 205,597.13 and 308,394.56

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Solution

The third proportional to 205,597.13 and 308,394.56 is: 462,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,597.13 : 308,394.56 = 308,394.56 : x
  2. Step 2: Convert to fraction form
    205,597.13/308,394.56 = 308,394.56/x
  3. Step 3: Cross multiply
    205,597.13x = 308,394.56 × 308,394.56
  4. Step 4: Simplify right side
    205,597.13x = 95,107,206,179.57
  5. Step 5: Solve for x
    x = 95,107,206,179.57/205,597.13
  6. Step 6: Final answer
    x = 462,590.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.