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Finding the Third Proportional to 112,438 and 240,818

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Solution

The third proportional to 112,438 and 240,818 is: 515,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,438 : 240,818 = 240,818 : x
  2. Step 2: Convert to fraction form
    112,438/240,818 = 240,818/x
  3. Step 3: Cross multiply
    112,438x = 240,818 × 240,818
  4. Step 4: Simplify right side
    112,438x = 57,993,309,124
  5. Step 5: Solve for x
    x = 57,993,309,124/112,438
  6. Step 6: Final answer
    x = 515,780.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.