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Finding the Third Proportional to 202,591.13 and 315,079.88

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Solution

The third proportional to 202,591.13 and 315,079.88 is: 490,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.13 : 315,079.88 = 315,079.88 : x
  2. Step 2: Convert to fraction form
    202,591.13/315,079.88 = 315,079.88/x
  3. Step 3: Cross multiply
    202,591.13x = 315,079.88 × 315,079.88
  4. Step 4: Simplify right side
    202,591.13x = 99,275,327,630.02
  5. Step 5: Solve for x
    x = 99,275,327,630.02/202,591.13
  6. Step 6: Final answer
    x = 490,028.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.