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Finding the Third Proportional to 106,678 and 229,172

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Solution

The third proportional to 106,678 and 229,172 is: 492,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,678 : 229,172 = 229,172 : x
  2. Step 2: Convert to fraction form
    106,678/229,172 = 229,172/x
  3. Step 3: Cross multiply
    106,678x = 229,172 × 229,172
  4. Step 4: Simplify right side
    106,678x = 52,519,805,584
  5. Step 5: Solve for x
    x = 52,519,805,584/106,678
  6. Step 6: Final answer
    x = 492,320.87

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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.