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Finding the Third Proportional to 204,364 and 318,962

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Solution

The third proportional to 204,364 and 318,962 is: 497,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,364 : 318,962 = 318,962 : x
  2. Step 2: Convert to fraction form
    204,364/318,962 = 318,962/x
  3. Step 3: Cross multiply
    204,364x = 318,962 × 318,962
  4. Step 4: Simplify right side
    204,364x = 101,736,757,444
  5. Step 5: Solve for x
    x = 101,736,757,444/204,364
  6. Step 6: Final answer
    x = 497,821.33

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Why These Related Problems?

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