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Finding the Third Proportional to 112,442 and 241,558

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Solution

The third proportional to 112,442 and 241,558 is: 518,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,442 : 241,558 = 241,558 : x
  2. Step 2: Convert to fraction form
    112,442/241,558 = 241,558/x
  3. Step 3: Cross multiply
    112,442x = 241,558 × 241,558
  4. Step 4: Simplify right side
    112,442x = 58,350,267,364
  5. Step 5: Solve for x
    x = 58,350,267,364/112,442
  6. Step 6: Final answer
    x = 518,936.58

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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.