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Finding the Third Proportional to 110,188 and 237,866

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Solution

The third proportional to 110,188 and 237,866 is: 513,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,188 : 237,866 = 237,866 : x
  2. Step 2: Convert to fraction form
    110,188/237,866 = 237,866/x
  3. Step 3: Cross multiply
    110,188x = 237,866 × 237,866
  4. Step 4: Simplify right side
    110,188x = 56,580,233,956
  5. Step 5: Solve for x
    x = 56,580,233,956/110,188
  6. Step 6: Final answer
    x = 513,488.17

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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.