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Finding the Third Proportional to 106,860 and 230,850

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Solution

The third proportional to 106,860 and 230,850 is: 498,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,860 : 230,850 = 230,850 : x
  2. Step 2: Convert to fraction form
    106,860/230,850 = 230,850/x
  3. Step 3: Cross multiply
    106,860x = 230,850 × 230,850
  4. Step 4: Simplify right side
    106,860x = 53,291,722,500
  5. Step 5: Solve for x
    x = 53,291,722,500/106,860
  6. Step 6: Final answer
    x = 498,705.99

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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.