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Finding the Third Proportional to 202,204 and 313,967

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Solution

The third proportional to 202,204 and 313,967 is: 487,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,204 : 313,967 = 313,967 : x
  2. Step 2: Convert to fraction form
    202,204/313,967 = 313,967/x
  3. Step 3: Cross multiply
    202,204x = 313,967 × 313,967
  4. Step 4: Simplify right side
    202,204x = 98,575,277,089
  5. Step 5: Solve for x
    x = 98,575,277,089/202,204
  6. Step 6: Final answer
    x = 487,504.09

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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.