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Finding the Third Proportional to 103,392 and 230,166

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Solution

The third proportional to 103,392 and 230,166 is: 512,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,392 : 230,166 = 230,166 : x
  2. Step 2: Convert to fraction form
    103,392/230,166 = 230,166/x
  3. Step 3: Cross multiply
    103,392x = 230,166 × 230,166
  4. Step 4: Simplify right side
    103,392x = 52,976,387,556
  5. Step 5: Solve for x
    x = 52,976,387,556/103,392
  6. Step 6: Final answer
    x = 512,383.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.