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Finding the Third Proportional to 110,825 and 229,534

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Solution

The third proportional to 110,825 and 229,534 is: 475,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,825 : 229,534 = 229,534 : x
  2. Step 2: Convert to fraction form
    110,825/229,534 = 229,534/x
  3. Step 3: Cross multiply
    110,825x = 229,534 × 229,534
  4. Step 4: Simplify right side
    110,825x = 52,685,857,156
  5. Step 5: Solve for x
    x = 52,685,857,156/110,825
  6. Step 6: Final answer
    x = 475,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.