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Finding the Third Proportional to 106,232 and 226,678

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Solution

The third proportional to 106,232 and 226,678 is: 483,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,232 : 226,678 = 226,678 : x
  2. Step 2: Convert to fraction form
    106,232/226,678 = 226,678/x
  3. Step 3: Cross multiply
    106,232x = 226,678 × 226,678
  4. Step 4: Simplify right side
    106,232x = 51,382,915,684
  5. Step 5: Solve for x
    x = 51,382,915,684/106,232
  6. Step 6: Final answer
    x = 483,685.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.