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Finding the Third Proportional to 111,922 and 236,358

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Solution

The third proportional to 111,922 and 236,358 is: 499,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922 : 236,358 = 236,358 : x
  2. Step 2: Convert to fraction form
    111,922/236,358 = 236,358/x
  3. Step 3: Cross multiply
    111,922x = 236,358 × 236,358
  4. Step 4: Simplify right side
    111,922x = 55,865,104,164
  5. Step 5: Solve for x
    x = 55,865,104,164/111,922
  6. Step 6: Final answer
    x = 499,143.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.