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Finding the Third Proportional to 110,112 and 241,320

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Solution

The third proportional to 110,112 and 241,320 is: 528,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,112 : 241,320 = 241,320 : x
  2. Step 2: Convert to fraction form
    110,112/241,320 = 241,320/x
  3. Step 3: Cross multiply
    110,112x = 241,320 × 241,320
  4. Step 4: Simplify right side
    110,112x = 58,235,342,400
  5. Step 5: Solve for x
    x = 58,235,342,400/110,112
  6. Step 6: Final answer
    x = 528,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.