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Finding the Third Proportional to 106,171 and 230,054

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Solution

The third proportional to 106,171 and 230,054 is: 498,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171 : 230,054 = 230,054 : x
  2. Step 2: Convert to fraction form
    106,171/230,054 = 230,054/x
  3. Step 3: Cross multiply
    106,171x = 230,054 × 230,054
  4. Step 4: Simplify right side
    106,171x = 52,924,842,916
  5. Step 5: Solve for x
    x = 52,924,842,916/106,171
  6. Step 6: Final answer
    x = 498,486.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.