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Finding the Third Proportional to 110,829 and 229,542

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Solution

The third proportional to 110,829 and 229,542 is: 475,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,829 : 229,542 = 229,542 : x
  2. Step 2: Convert to fraction form
    110,829/229,542 = 229,542/x
  3. Step 3: Cross multiply
    110,829x = 229,542 × 229,542
  4. Step 4: Simplify right side
    110,829x = 52,689,529,764
  5. Step 5: Solve for x
    x = 52,689,529,764/110,829
  6. Step 6: Final answer
    x = 475,412.84

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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.