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Finding the Third Proportional to 110,796 and 241,902

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Solution

The third proportional to 110,796 and 241,902 is: 528,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,796 : 241,902 = 241,902 : x
  2. Step 2: Convert to fraction form
    110,796/241,902 = 241,902/x
  3. Step 3: Cross multiply
    110,796x = 241,902 × 241,902
  4. Step 4: Simplify right side
    110,796x = 58,516,577,604
  5. Step 5: Solve for x
    x = 58,516,577,604/110,796
  6. Step 6: Final answer
    x = 528,147.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.