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Finding the Third Proportional to 102,558 and 222,612

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Solution

The third proportional to 102,558 and 222,612 is: 483,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,558 : 222,612 = 222,612 : x
  2. Step 2: Convert to fraction form
    102,558/222,612 = 222,612/x
  3. Step 3: Cross multiply
    102,558x = 222,612 × 222,612
  4. Step 4: Simplify right side
    102,558x = 49,556,102,544
  5. Step 5: Solve for x
    x = 49,556,102,544/102,558
  6. Step 6: Final answer
    x = 483,200.75

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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.