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Finding the Third Proportional to 187,612 and 401,467

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Solution

The third proportional to 187,612 and 401,467 is: 859,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,612 : 401,467 = 401,467 : x
  2. Step 2: Convert to fraction form
    187,612/401,467 = 401,467/x
  3. Step 3: Cross multiply
    187,612x = 401,467 × 401,467
  4. Step 4: Simplify right side
    187,612x = 161,175,752,089
  5. Step 5: Solve for x
    x = 161,175,752,089/187,612
  6. Step 6: Final answer
    x = 859,090.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.