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Finding the Third Proportional to 87,204 and 186,303

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Solution

The third proportional to 87,204 and 186,303 is: 398,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204 : 186,303 = 186,303 : x
  2. Step 2: Convert to fraction form
    87,204/186,303 = 186,303/x
  3. Step 3: Cross multiply
    87,204x = 186,303 × 186,303
  4. Step 4: Simplify right side
    87,204x = 34,708,807,809
  5. Step 5: Solve for x
    x = 34,708,807,809/87,204
  6. Step 6: Final answer
    x = 398,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.