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Finding the Third Proportional to 101,823 and 223,572

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Solution

The third proportional to 101,823 and 223,572 is: 490,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823 : 223,572 = 223,572 : x
  2. Step 2: Convert to fraction form
    101,823/223,572 = 223,572/x
  3. Step 3: Cross multiply
    101,823x = 223,572 × 223,572
  4. Step 4: Simplify right side
    101,823x = 49,984,439,184
  5. Step 5: Solve for x
    x = 49,984,439,184/101,823
  6. Step 6: Final answer
    x = 490,895.37

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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.