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Finding the Third Proportional to 192,188 and 442,373

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Solution

The third proportional to 192,188 and 442,373 is: 1,018,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,188 : 442,373 = 442,373 : x
  2. Step 2: Convert to fraction form
    192,188/442,373 = 442,373/x
  3. Step 3: Cross multiply
    192,188x = 442,373 × 442,373
  4. Step 4: Simplify right side
    192,188x = 195,693,871,129
  5. Step 5: Solve for x
    x = 195,693,871,129/192,188
  6. Step 6: Final answer
    x = 1,018,241.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.