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Finding the Third Proportional to 111,942 and 243,372

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Solution

The third proportional to 111,942 and 243,372 is: 529,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,942 : 243,372 = 243,372 : x
  2. Step 2: Convert to fraction form
    111,942/243,372 = 243,372/x
  3. Step 3: Cross multiply
    111,942x = 243,372 × 243,372
  4. Step 4: Simplify right side
    111,942x = 59,229,930,384
  5. Step 5: Solve for x
    x = 59,229,930,384/111,942
  6. Step 6: Final answer
    x = 529,112.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.