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Finding the Third Proportional to 111,808 and 244,352

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Solution

The third proportional to 111,808 and 244,352 is: 534,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,808 : 244,352 = 244,352 : x
  2. Step 2: Convert to fraction form
    111,808/244,352 = 244,352/x
  3. Step 3: Cross multiply
    111,808x = 244,352 × 244,352
  4. Step 4: Simplify right side
    111,808x = 59,707,899,904
  5. Step 5: Solve for x
    x = 59,707,899,904/111,808
  6. Step 6: Final answer
    x = 534,021.71

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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.