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Finding the Third Proportional to 102,826 and 222,932

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Solution

The third proportional to 102,826 and 222,932 is: 483,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,826 : 222,932 = 222,932 : x
  2. Step 2: Convert to fraction form
    102,826/222,932 = 222,932/x
  3. Step 3: Cross multiply
    102,826x = 222,932 × 222,932
  4. Step 4: Simplify right side
    102,826x = 49,698,676,624
  5. Step 5: Solve for x
    x = 49,698,676,624/102,826
  6. Step 6: Final answer
    x = 483,327.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.