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Finding the Third Proportional to 86,997 and 183,330

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Solution

The third proportional to 86,997 and 183,330 is: 386,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,997 : 183,330 = 183,330 : x
  2. Step 2: Convert to fraction form
    86,997/183,330 = 183,330/x
  3. Step 3: Cross multiply
    86,997x = 183,330 × 183,330
  4. Step 4: Simplify right side
    86,997x = 33,609,888,900
  5. Step 5: Solve for x
    x = 33,609,888,900/86,997
  6. Step 6: Final answer
    x = 386,333.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.