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Finding the Third Proportional to 202,694 and 317,962

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Solution

The third proportional to 202,694 and 317,962 is: 498,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,694 : 317,962 = 317,962 : x
  2. Step 2: Convert to fraction form
    202,694/317,962 = 317,962/x
  3. Step 3: Cross multiply
    202,694x = 317,962 × 317,962
  4. Step 4: Simplify right side
    202,694x = 101,099,833,444
  5. Step 5: Solve for x
    x = 101,099,833,444/202,694
  6. Step 6: Final answer
    x = 498,780.59

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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.