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Finding the Third Proportional to 106,880 and 229,838

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Solution

The third proportional to 106,880 and 229,838 is: 494,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,880 : 229,838 = 229,838 : x
  2. Step 2: Convert to fraction form
    106,880/229,838 = 229,838/x
  3. Step 3: Cross multiply
    106,880x = 229,838 × 229,838
  4. Step 4: Simplify right side
    106,880x = 52,825,506,244
  5. Step 5: Solve for x
    x = 52,825,506,244/106,880
  6. Step 6: Final answer
    x = 494,250.62

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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.