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Finding the Third Proportional to 152,100 and 339,192

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Solution

The third proportional to 152,100 and 339,192 is: 756,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100 : 339,192 = 339,192 : x
  2. Step 2: Convert to fraction form
    152,100/339,192 = 339,192/x
  3. Step 3: Cross multiply
    152,100x = 339,192 × 339,192
  4. Step 4: Simplify right side
    152,100x = 115,051,212,864
  5. Step 5: Solve for x
    x = 115,051,212,864/152,100
  6. Step 6: Final answer
    x = 756,418.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.