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Finding the Third Proportional to 101,826 and 223,576

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Solution

The third proportional to 101,826 and 223,576 is: 490,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,826 : 223,576 = 223,576 : x
  2. Step 2: Convert to fraction form
    101,826/223,576 = 223,576/x
  3. Step 3: Cross multiply
    101,826x = 223,576 × 223,576
  4. Step 4: Simplify right side
    101,826x = 49,986,227,776
  5. Step 5: Solve for x
    x = 49,986,227,776/101,826
  6. Step 6: Final answer
    x = 490,898.47

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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.