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Finding the Third Proportional to 112,549 and 240,162

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Solution

The third proportional to 112,549 and 240,162 is: 512,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,549 : 240,162 = 240,162 : x
  2. Step 2: Convert to fraction form
    112,549/240,162 = 240,162/x
  3. Step 3: Cross multiply
    112,549x = 240,162 × 240,162
  4. Step 4: Simplify right side
    112,549x = 57,677,786,244
  5. Step 5: Solve for x
    x = 57,677,786,244/112,549
  6. Step 6: Final answer
    x = 512,468.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.