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Finding the Third Proportional to 106,829 and 230,790

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Solution

The third proportional to 106,829 and 230,790 is: 498,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,829 : 230,790 = 230,790 : x
  2. Step 2: Convert to fraction form
    106,829/230,790 = 230,790/x
  3. Step 3: Cross multiply
    106,829x = 230,790 × 230,790
  4. Step 4: Simplify right side
    106,829x = 53,264,024,100
  5. Step 5: Solve for x
    x = 53,264,024,100/106,829
  6. Step 6: Final answer
    x = 498,591.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.