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Finding the Third Proportional to 112,366.31 and 241,408.22

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Solution

The third proportional to 112,366.31 and 241,408.22 is: 518,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,366.31 : 241,408.22 = 241,408.22 : x
  2. Step 2: Convert to fraction form
    112,366.31/241,408.22 = 241,408.22/x
  3. Step 3: Cross multiply
    112,366.31x = 241,408.22 × 241,408.22
  4. Step 4: Simplify right side
    112,366.31x = 58,277,928,080.05
  5. Step 5: Solve for x
    x = 58,277,928,080.05/112,366.31
  6. Step 6: Final answer
    x = 518,642.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.