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Finding the Third Proportional to 101,922 and 239,816

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Solution

The third proportional to 101,922 and 239,816 is: 564,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922 : 239,816 = 239,816 : x
  2. Step 2: Convert to fraction form
    101,922/239,816 = 239,816/x
  3. Step 3: Cross multiply
    101,922x = 239,816 × 239,816
  4. Step 4: Simplify right side
    101,922x = 57,511,713,856
  5. Step 5: Solve for x
    x = 57,511,713,856/101,922
  6. Step 6: Final answer
    x = 564,271.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.