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Finding the Third Proportional to 121,244 and 263,224

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Solution

The third proportional to 121,244 and 263,224 is: 571,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,244 : 263,224 = 263,224 : x
  2. Step 2: Convert to fraction form
    121,244/263,224 = 263,224/x
  3. Step 3: Cross multiply
    121,244x = 263,224 × 263,224
  4. Step 4: Simplify right side
    121,244x = 69,286,874,176
  5. Step 5: Solve for x
    x = 69,286,874,176/121,244
  6. Step 6: Final answer
    x = 571,466.42

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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.