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Finding the Third Proportional to 106,060 and 230,812

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Solution

The third proportional to 106,060 and 230,812 is: 502,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060 : 230,812 = 230,812 : x
  2. Step 2: Convert to fraction form
    106,060/230,812 = 230,812/x
  3. Step 3: Cross multiply
    106,060x = 230,812 × 230,812
  4. Step 4: Simplify right side
    106,060x = 53,274,179,344
  5. Step 5: Solve for x
    x = 53,274,179,344/106,060
  6. Step 6: Final answer
    x = 502,302.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.