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Finding the Third Proportional to 87,338 and 189,364

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Solution

The third proportional to 87,338 and 189,364 is: 410,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,338 : 189,364 = 189,364 : x
  2. Step 2: Convert to fraction form
    87,338/189,364 = 189,364/x
  3. Step 3: Cross multiply
    87,338x = 189,364 × 189,364
  4. Step 4: Simplify right side
    87,338x = 35,858,724,496
  5. Step 5: Solve for x
    x = 35,858,724,496/87,338
  6. Step 6: Final answer
    x = 410,574.14

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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.