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Finding the Third Proportional to 101,622 and 233,727

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Solution

The third proportional to 101,622 and 233,727 is: 537,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622 : 233,727 = 233,727 : x
  2. Step 2: Convert to fraction form
    101,622/233,727 = 233,727/x
  3. Step 3: Cross multiply
    101,622x = 233,727 × 233,727
  4. Step 4: Simplify right side
    101,622x = 54,628,310,529
  5. Step 5: Solve for x
    x = 54,628,310,529/101,622
  6. Step 6: Final answer
    x = 537,563.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.