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Finding the Third Proportional to 222,584 and 345,171

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Solution

The third proportional to 222,584 and 345,171 is: 535,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,584 : 345,171 = 345,171 : x
  2. Step 2: Convert to fraction form
    222,584/345,171 = 345,171/x
  3. Step 3: Cross multiply
    222,584x = 345,171 × 345,171
  4. Step 4: Simplify right side
    222,584x = 119,143,019,241
  5. Step 5: Solve for x
    x = 119,143,019,241/222,584
  6. Step 6: Final answer
    x = 535,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.