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Finding the Third Proportional to 102,867 and 224,958

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Solution

The third proportional to 102,867 and 224,958 is: 491,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,867 : 224,958 = 224,958 : x
  2. Step 2: Convert to fraction form
    102,867/224,958 = 224,958/x
  3. Step 3: Cross multiply
    102,867x = 224,958 × 224,958
  4. Step 4: Simplify right side
    102,867x = 50,606,101,764
  5. Step 5: Solve for x
    x = 50,606,101,764/102,867
  6. Step 6: Final answer
    x = 491,956.62

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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.