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Finding the Third Proportional to 193,695 and 419,561

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Solution

The third proportional to 193,695 and 419,561 is: 908,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,695 : 419,561 = 419,561 : x
  2. Step 2: Convert to fraction form
    193,695/419,561 = 419,561/x
  3. Step 3: Cross multiply
    193,695x = 419,561 × 419,561
  4. Step 4: Simplify right side
    193,695x = 176,031,432,721
  5. Step 5: Solve for x
    x = 176,031,432,721/193,695
  6. Step 6: Final answer
    x = 908,807.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.