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Finding the Third Proportional to 192,214 and 408,076

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Solution

The third proportional to 192,214 and 408,076 is: 866,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,214 : 408,076 = 408,076 : x
  2. Step 2: Convert to fraction form
    192,214/408,076 = 408,076/x
  3. Step 3: Cross multiply
    192,214x = 408,076 × 408,076
  4. Step 4: Simplify right side
    192,214x = 166,526,021,776
  5. Step 5: Solve for x
    x = 166,526,021,776/192,214
  6. Step 6: Final answer
    x = 866,357.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.