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Finding the Third Proportional to 202,844.25 and 315,322.88

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Solution

The third proportional to 202,844.25 and 315,322.88 is: 490,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,844.25 : 315,322.88 = 315,322.88 : x
  2. Step 2: Convert to fraction form
    202,844.25/315,322.88 = 315,322.88/x
  3. Step 3: Cross multiply
    202,844.25x = 315,322.88 × 315,322.88
  4. Step 4: Simplify right side
    202,844.25x = 99,428,515,498.27
  5. Step 5: Solve for x
    x = 99,428,515,498.27/202,844.25
  6. Step 6: Final answer
    x = 490,171.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.