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Finding the Third Proportional to 231,814 and 330,872

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Solution

The third proportional to 231,814 and 330,872 is: 472,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,814 : 330,872 = 330,872 : x
  2. Step 2: Convert to fraction form
    231,814/330,872 = 330,872/x
  3. Step 3: Cross multiply
    231,814x = 330,872 × 330,872
  4. Step 4: Simplify right side
    231,814x = 109,476,280,384
  5. Step 5: Solve for x
    x = 109,476,280,384/231,814
  6. Step 6: Final answer
    x = 472,259.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.