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Finding the Third Proportional to 106,911 and 230,775

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Solution

The third proportional to 106,911 and 230,775 is: 498,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911 : 230,775 = 230,775 : x
  2. Step 2: Convert to fraction form
    106,911/230,775 = 230,775/x
  3. Step 3: Cross multiply
    106,911x = 230,775 × 230,775
  4. Step 4: Simplify right side
    106,911x = 53,257,100,625
  5. Step 5: Solve for x
    x = 53,257,100,625/106,911
  6. Step 6: Final answer
    x = 498,144.26

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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.