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Finding the Third Proportional to 102,052 and 223,832

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Solution

The third proportional to 102,052 and 223,832 is: 490,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052 : 223,832 = 223,832 : x
  2. Step 2: Convert to fraction form
    102,052/223,832 = 223,832/x
  3. Step 3: Cross multiply
    102,052x = 223,832 × 223,832
  4. Step 4: Simplify right side
    102,052x = 50,100,764,224
  5. Step 5: Solve for x
    x = 50,100,764,224/102,052
  6. Step 6: Final answer
    x = 490,933.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.