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Finding the Third Proportional to 166,957 and 393,721

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Solution

The third proportional to 166,957 and 393,721 is: 928,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,957 : 393,721 = 393,721 : x
  2. Step 2: Convert to fraction form
    166,957/393,721 = 393,721/x
  3. Step 3: Cross multiply
    166,957x = 393,721 × 393,721
  4. Step 4: Simplify right side
    166,957x = 155,016,225,841
  5. Step 5: Solve for x
    x = 155,016,225,841/166,957
  6. Step 6: Final answer
    x = 928,479.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.