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Finding the Third Proportional to 202,816.13 and 318,143.81

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Solution

The third proportional to 202,816.13 and 318,143.81 is: 499,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.13 : 318,143.81 = 318,143.81 : x
  2. Step 2: Convert to fraction form
    202,816.13/318,143.81 = 318,143.81/x
  3. Step 3: Cross multiply
    202,816.13x = 318,143.81 × 318,143.81
  4. Step 4: Simplify right side
    202,816.13x = 101,215,485,432.04
  5. Step 5: Solve for x
    x = 101,215,485,432.04/202,816.13
  6. Step 6: Final answer
    x = 499,050.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.