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Finding the Third Proportional to 101,762 and 223,822

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Solution

The third proportional to 101,762 and 223,822 is: 492,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762 : 223,822 = 223,822 : x
  2. Step 2: Convert to fraction form
    101,762/223,822 = 223,822/x
  3. Step 3: Cross multiply
    101,762x = 223,822 × 223,822
  4. Step 4: Simplify right side
    101,762x = 50,096,287,684
  5. Step 5: Solve for x
    x = 50,096,287,684/101,762
  6. Step 6: Final answer
    x = 492,288.75

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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.