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Finding the Third Proportional to 190,848 and 407,940

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Solution

The third proportional to 190,848 and 407,940 is: 871,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,848 : 407,940 = 407,940 : x
  2. Step 2: Convert to fraction form
    190,848/407,940 = 407,940/x
  3. Step 3: Cross multiply
    190,848x = 407,940 × 407,940
  4. Step 4: Simplify right side
    190,848x = 166,415,043,600
  5. Step 5: Solve for x
    x = 166,415,043,600/190,848
  6. Step 6: Final answer
    x = 871,976.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.