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Finding the Third Proportional to 106,477 and 229,356

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Solution

The third proportional to 106,477 and 229,356 is: 494,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477 : 229,356 = 229,356 : x
  2. Step 2: Convert to fraction form
    106,477/229,356 = 229,356/x
  3. Step 3: Cross multiply
    106,477x = 229,356 × 229,356
  4. Step 4: Simplify right side
    106,477x = 52,604,174,736
  5. Step 5: Solve for x
    x = 52,604,174,736/106,477
  6. Step 6: Final answer
    x = 494,042.61

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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.