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Finding the Third Proportional to 204,036 and 310,567

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Solution

The third proportional to 204,036 and 310,567 is: 472,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,036 : 310,567 = 310,567 : x
  2. Step 2: Convert to fraction form
    204,036/310,567 = 310,567/x
  3. Step 3: Cross multiply
    204,036x = 310,567 × 310,567
  4. Step 4: Simplify right side
    204,036x = 96,451,861,489
  5. Step 5: Solve for x
    x = 96,451,861,489/204,036
  6. Step 6: Final answer
    x = 472,719.82

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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.