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Finding the Third Proportional to 105,206 and 226,452

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Solution

The third proportional to 105,206 and 226,452 is: 487,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,206 : 226,452 = 226,452 : x
  2. Step 2: Convert to fraction form
    105,206/226,452 = 226,452/x
  3. Step 3: Cross multiply
    105,206x = 226,452 × 226,452
  4. Step 4: Simplify right side
    105,206x = 51,280,508,304
  5. Step 5: Solve for x
    x = 51,280,508,304/105,206
  6. Step 6: Final answer
    x = 487,429.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.