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Finding the Third Proportional to 112,366 and 241,407

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Solution

The third proportional to 112,366 and 241,407 is: 518,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,366 : 241,407 = 241,407 : x
  2. Step 2: Convert to fraction form
    112,366/241,407 = 241,407/x
  3. Step 3: Cross multiply
    112,366x = 241,407 × 241,407
  4. Step 4: Simplify right side
    112,366x = 58,277,339,649
  5. Step 5: Solve for x
    x = 58,277,339,649/112,366
  6. Step 6: Final answer
    x = 518,638.55

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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.