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Finding the Third Proportional to 101,526 and 223,302

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Solution

The third proportional to 101,526 and 223,302 is: 491,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,526 : 223,302 = 223,302 : x
  2. Step 2: Convert to fraction form
    101,526/223,302 = 223,302/x
  3. Step 3: Cross multiply
    101,526x = 223,302 × 223,302
  4. Step 4: Simplify right side
    101,526x = 49,863,783,204
  5. Step 5: Solve for x
    x = 49,863,783,204/101,526
  6. Step 6: Final answer
    x = 491,142.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.