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Finding the Third Proportional to 202,024.13 and 317,251.69

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Solution

The third proportional to 202,024.13 and 317,251.69 is: 498,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.13 : 317,251.69 = 317,251.69 : x
  2. Step 2: Convert to fraction form
    202,024.13/317,251.69 = 317,251.69/x
  3. Step 3: Cross multiply
    202,024.13x = 317,251.69 × 317,251.69
  4. Step 4: Simplify right side
    202,024.13x = 100,648,633,221.60
  5. Step 5: Solve for x
    x = 100,648,633,221.60/202,024.13
  6. Step 6: Final answer
    x = 498,201.06

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Why These Related Problems?

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