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Finding the Third Proportional to 111,191 and 236,477

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Solution

The third proportional to 111,191 and 236,477 is: 502,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,191 : 236,477 = 236,477 : x
  2. Step 2: Convert to fraction form
    111,191/236,477 = 236,477/x
  3. Step 3: Cross multiply
    111,191x = 236,477 × 236,477
  4. Step 4: Simplify right side
    111,191x = 55,921,371,529
  5. Step 5: Solve for x
    x = 55,921,371,529/111,191
  6. Step 6: Final answer
    x = 502,930.74

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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.