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Finding the Third Proportional to 110,727 and 244,053

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Solution

The third proportional to 110,727 and 244,053 is: 537,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,727 : 244,053 = 244,053 : x
  2. Step 2: Convert to fraction form
    110,727/244,053 = 244,053/x
  3. Step 3: Cross multiply
    110,727x = 244,053 × 244,053
  4. Step 4: Simplify right side
    110,727x = 59,561,866,809
  5. Step 5: Solve for x
    x = 59,561,866,809/110,727
  6. Step 6: Final answer
    x = 537,916.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.