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Finding the Third Proportional to 202,292.81 and 303,958.13

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Solution

The third proportional to 202,292.81 and 303,958.13 is: 456,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,292.81 : 303,958.13 = 303,958.13 : x
  2. Step 2: Convert to fraction form
    202,292.81/303,958.13 = 303,958.13/x
  3. Step 3: Cross multiply
    202,292.81x = 303,958.13 × 303,958.13
  4. Step 4: Simplify right side
    202,292.81x = 92,390,541,753.52
  5. Step 5: Solve for x
    x = 92,390,541,753.52/202,292.81
  6. Step 6: Final answer
    x = 456,716.88

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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.