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Finding the Third Proportional to 114,866 and 248,182

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Solution

The third proportional to 114,866 and 248,182 is: 536,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,866 : 248,182 = 248,182 : x
  2. Step 2: Convert to fraction form
    114,866/248,182 = 248,182/x
  3. Step 3: Cross multiply
    114,866x = 248,182 × 248,182
  4. Step 4: Simplify right side
    114,866x = 61,594,305,124
  5. Step 5: Solve for x
    x = 61,594,305,124/114,866
  6. Step 6: Final answer
    x = 536,227.47

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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.