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Finding the Third Proportional to 86,325 and 188,341

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Solution

The third proportional to 86,325 and 188,341 is: 410,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,325 : 188,341 = 188,341 : x
  2. Step 2: Convert to fraction form
    86,325/188,341 = 188,341/x
  3. Step 3: Cross multiply
    86,325x = 188,341 × 188,341
  4. Step 4: Simplify right side
    86,325x = 35,472,332,281
  5. Step 5: Solve for x
    x = 35,472,332,281/86,325
  6. Step 6: Final answer
    x = 410,916.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.