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Finding the Third Proportional to 201,174 and 418,872

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Solution

The third proportional to 201,174 and 418,872 is: 872,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,174 : 418,872 = 418,872 : x
  2. Step 2: Convert to fraction form
    201,174/418,872 = 418,872/x
  3. Step 3: Cross multiply
    201,174x = 418,872 × 418,872
  4. Step 4: Simplify right side
    201,174x = 175,453,752,384
  5. Step 5: Solve for x
    x = 175,453,752,384/201,174
  6. Step 6: Final answer
    x = 872,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.