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Finding the Third Proportional to 101,928 and 239,831

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Solution

The third proportional to 101,928 and 239,831 is: 564,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928 : 239,831 = 239,831 : x
  2. Step 2: Convert to fraction form
    101,928/239,831 = 239,831/x
  3. Step 3: Cross multiply
    101,928x = 239,831 × 239,831
  4. Step 4: Simplify right side
    101,928x = 57,518,908,561
  5. Step 5: Solve for x
    x = 57,518,908,561/101,928
  6. Step 6: Final answer
    x = 564,309.20

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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.