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Finding the Third Proportional to 110,754 and 236,006

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Solution

The third proportional to 110,754 and 236,006 is: 502,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,754 : 236,006 = 236,006 : x
  2. Step 2: Convert to fraction form
    110,754/236,006 = 236,006/x
  3. Step 3: Cross multiply
    110,754x = 236,006 × 236,006
  4. Step 4: Simplify right side
    110,754x = 55,698,832,036
  5. Step 5: Solve for x
    x = 55,698,832,036/110,754
  6. Step 6: Final answer
    x = 502,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.