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Finding the Third Proportional to 112,744 and 234,818

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Solution

The third proportional to 112,744 and 234,818 is: 489,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,744 : 234,818 = 234,818 : x
  2. Step 2: Convert to fraction form
    112,744/234,818 = 234,818/x
  3. Step 3: Cross multiply
    112,744x = 234,818 × 234,818
  4. Step 4: Simplify right side
    112,744x = 55,139,493,124
  5. Step 5: Solve for x
    x = 55,139,493,124/112,744
  6. Step 6: Final answer
    x = 489,068.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.