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Finding the Third Proportional to 204,674 and 311,967

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Solution

The third proportional to 204,674 and 311,967 is: 475,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,674 : 311,967 = 311,967 : x
  2. Step 2: Convert to fraction form
    204,674/311,967 = 311,967/x
  3. Step 3: Cross multiply
    204,674x = 311,967 × 311,967
  4. Step 4: Simplify right side
    204,674x = 97,323,409,089
  5. Step 5: Solve for x
    x = 97,323,409,089/204,674
  6. Step 6: Final answer
    x = 475,504.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.