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Finding the Third Proportional to 110,790 and 241,632

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Solution

The third proportional to 110,790 and 241,632 is: 526,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,790 : 241,632 = 241,632 : x
  2. Step 2: Convert to fraction form
    110,790/241,632 = 241,632/x
  3. Step 3: Cross multiply
    110,790x = 241,632 × 241,632
  4. Step 4: Simplify right side
    110,790x = 58,386,023,424
  5. Step 5: Solve for x
    x = 58,386,023,424/110,790
  6. Step 6: Final answer
    x = 526,997.23

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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.