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Finding the Third Proportional to 110,988 and 244,072

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Solution

The third proportional to 110,988 and 244,072 is: 536,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,988 : 244,072 = 244,072 : x
  2. Step 2: Convert to fraction form
    110,988/244,072 = 244,072/x
  3. Step 3: Cross multiply
    110,988x = 244,072 × 244,072
  4. Step 4: Simplify right side
    110,988x = 59,571,141,184
  5. Step 5: Solve for x
    x = 59,571,141,184/110,988
  6. Step 6: Final answer
    x = 536,734.97

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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.