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Finding the Third Proportional to 204,230 and 310,665

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Solution

The third proportional to 204,230 and 310,665 is: 472,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,230 : 310,665 = 310,665 : x
  2. Step 2: Convert to fraction form
    204,230/310,665 = 310,665/x
  3. Step 3: Cross multiply
    204,230x = 310,665 × 310,665
  4. Step 4: Simplify right side
    204,230x = 96,512,742,225
  5. Step 5: Solve for x
    x = 96,512,742,225/204,230
  6. Step 6: Final answer
    x = 472,568.88

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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.