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Finding the Third Proportional to 192,441 and 286,608

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Solution

The third proportional to 192,441 and 286,608 is: 426,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,441 : 286,608 = 286,608 : x
  2. Step 2: Convert to fraction form
    192,441/286,608 = 286,608/x
  3. Step 3: Cross multiply
    192,441x = 286,608 × 286,608
  4. Step 4: Simplify right side
    192,441x = 82,144,145,664
  5. Step 5: Solve for x
    x = 82,144,145,664/192,441
  6. Step 6: Final answer
    x = 426,853.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.