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Finding the Third Proportional to 101,932 and 223,544

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Solution

The third proportional to 101,932 and 223,544 is: 490,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,932 : 223,544 = 223,544 : x
  2. Step 2: Convert to fraction form
    101,932/223,544 = 223,544/x
  3. Step 3: Cross multiply
    101,932x = 223,544 × 223,544
  4. Step 4: Simplify right side
    101,932x = 49,971,919,936
  5. Step 5: Solve for x
    x = 49,971,919,936/101,932
  6. Step 6: Final answer
    x = 490,247.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.