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Finding the Third Proportional to 86,323 and 188,337

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Solution

The third proportional to 86,323 and 188,337 is: 410,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,323 : 188,337 = 188,337 : x
  2. Step 2: Convert to fraction form
    86,323/188,337 = 188,337/x
  3. Step 3: Cross multiply
    86,323x = 188,337 × 188,337
  4. Step 4: Simplify right side
    86,323x = 35,470,825,569
  5. Step 5: Solve for x
    x = 35,470,825,569/86,323
  6. Step 6: Final answer
    x = 410,908.17

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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.