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Finding the Third Proportional to 110,760 and 236,020

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Solution

The third proportional to 110,760 and 236,020 is: 502,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,760 : 236,020 = 236,020 : x
  2. Step 2: Convert to fraction form
    110,760/236,020 = 236,020/x
  3. Step 3: Cross multiply
    110,760x = 236,020 × 236,020
  4. Step 4: Simplify right side
    110,760x = 55,705,440,400
  5. Step 5: Solve for x
    x = 55,705,440,400/110,760
  6. Step 6: Final answer
    x = 502,938.25

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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.