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Finding the Third Proportional to 110,982 and 239,700

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Solution

The third proportional to 110,982 and 239,700 is: 517,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 239,700 = 239,700 : x
  2. Step 2: Convert to fraction form
    110,982/239,700 = 239,700/x
  3. Step 3: Cross multiply
    110,982x = 239,700 × 239,700
  4. Step 4: Simplify right side
    110,982x = 57,456,090,000
  5. Step 5: Solve for x
    x = 57,456,090,000/110,982
  6. Step 6: Final answer
    x = 517,706.38

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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.