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Finding the Third Proportional to 238,084 and 360,198

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Solution

The third proportional to 238,084 and 360,198 is: 544,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,084 : 360,198 = 360,198 : x
  2. Step 2: Convert to fraction form
    238,084/360,198 = 360,198/x
  3. Step 3: Cross multiply
    238,084x = 360,198 × 360,198
  4. Step 4: Simplify right side
    238,084x = 129,742,599,204
  5. Step 5: Solve for x
    x = 129,742,599,204/238,084
  6. Step 6: Final answer
    x = 544,944.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.