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Finding the Third Proportional to 110,728 and 240,212

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Solution

The third proportional to 110,728 and 240,212 is: 521,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,728 : 240,212 = 240,212 : x
  2. Step 2: Convert to fraction form
    110,728/240,212 = 240,212/x
  3. Step 3: Cross multiply
    110,728x = 240,212 × 240,212
  4. Step 4: Simplify right side
    110,728x = 57,701,804,944
  5. Step 5: Solve for x
    x = 57,701,804,944/110,728
  6. Step 6: Final answer
    x = 521,113.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.