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Finding the Third Proportional to 204,612 and 310,077

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Solution

The third proportional to 204,612 and 310,077 is: 469,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,612 : 310,077 = 310,077 : x
  2. Step 2: Convert to fraction form
    204,612/310,077 = 310,077/x
  3. Step 3: Cross multiply
    204,612x = 310,077 × 310,077
  4. Step 4: Simplify right side
    204,612x = 96,147,745,929
  5. Step 5: Solve for x
    x = 96,147,745,929/204,612
  6. Step 6: Final answer
    x = 469,902.77

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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.