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Finding the Third Proportional to 112,418 and 241,342

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Solution

The third proportional to 112,418 and 241,342 is: 518,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,418 : 241,342 = 241,342 : x
  2. Step 2: Convert to fraction form
    112,418/241,342 = 241,342/x
  3. Step 3: Cross multiply
    112,418x = 241,342 × 241,342
  4. Step 4: Simplify right side
    112,418x = 58,245,960,964
  5. Step 5: Solve for x
    x = 58,245,960,964/112,418
  6. Step 6: Final answer
    x = 518,119.53

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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.