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Finding the Third Proportional to 199,473.75 and 306,591.75

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Solution

The third proportional to 199,473.75 and 306,591.75 is: 471,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,473.75 : 306,591.75 = 306,591.75 : x
  2. Step 2: Convert to fraction form
    199,473.75/306,591.75 = 306,591.75/x
  3. Step 3: Cross multiply
    199,473.75x = 306,591.75 × 306,591.75
  4. Step 4: Simplify right side
    199,473.75x = 93,998,501,168.06
  5. Step 5: Solve for x
    x = 93,998,501,168.06/199,473.75
  6. Step 6: Final answer
    x = 471,232.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.