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Finding the Third Proportional to 110,632 and 244,518

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Solution

The third proportional to 110,632 and 244,518 is: 540,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,632 : 244,518 = 244,518 : x
  2. Step 2: Convert to fraction form
    110,632/244,518 = 244,518/x
  3. Step 3: Cross multiply
    110,632x = 244,518 × 244,518
  4. Step 4: Simplify right side
    110,632x = 59,789,052,324
  5. Step 5: Solve for x
    x = 59,789,052,324/110,632
  6. Step 6: Final answer
    x = 540,431.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.