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Finding the Third Proportional to 106,920 and 230,958

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Solution

The third proportional to 106,920 and 230,958 is: 498,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 230,958 = 230,958 : x
  2. Step 2: Convert to fraction form
    106,920/230,958 = 230,958/x
  3. Step 3: Cross multiply
    106,920x = 230,958 × 230,958
  4. Step 4: Simplify right side
    106,920x = 53,341,597,764
  5. Step 5: Solve for x
    x = 53,341,597,764/106,920
  6. Step 6: Final answer
    x = 498,892.61

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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.