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Finding the Third Proportional to 174,584 and 222,186

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Solution

The third proportional to 174,584 and 222,186 is: 282,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,584 : 222,186 = 222,186 : x
  2. Step 2: Convert to fraction form
    174,584/222,186 = 222,186/x
  3. Step 3: Cross multiply
    174,584x = 222,186 × 222,186
  4. Step 4: Simplify right side
    174,584x = 49,366,618,596
  5. Step 5: Solve for x
    x = 49,366,618,596/174,584
  6. Step 6: Final answer
    x = 282,767.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.