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Finding the Third Proportional to 188,973 and 271,107

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Solution

The third proportional to 188,973 and 271,107 is: 388,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,973 : 271,107 = 271,107 : x
  2. Step 2: Convert to fraction form
    188,973/271,107 = 271,107/x
  3. Step 3: Cross multiply
    188,973x = 271,107 × 271,107
  4. Step 4: Simplify right side
    188,973x = 73,499,005,449
  5. Step 5: Solve for x
    x = 73,499,005,449/188,973
  6. Step 6: Final answer
    x = 388,939.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.