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Finding the Third Proportional to 106,944 and 229,680

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Solution

The third proportional to 106,944 and 229,680 is: 493,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 229,680 = 229,680 : x
  2. Step 2: Convert to fraction form
    106,944/229,680 = 229,680/x
  3. Step 3: Cross multiply
    106,944x = 229,680 × 229,680
  4. Step 4: Simplify right side
    106,944x = 52,752,902,400
  5. Step 5: Solve for x
    x = 52,752,902,400/106,944
  6. Step 6: Final answer
    x = 493,275.94

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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.