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Finding the Third Proportional to 166,845 and 393,688

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Solution

The third proportional to 166,845 and 393,688 is: 928,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,845 : 393,688 = 393,688 : x
  2. Step 2: Convert to fraction form
    166,845/393,688 = 393,688/x
  3. Step 3: Cross multiply
    166,845x = 393,688 × 393,688
  4. Step 4: Simplify right side
    166,845x = 154,990,241,344
  5. Step 5: Solve for x
    x = 154,990,241,344/166,845
  6. Step 6: Final answer
    x = 928,947.47

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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.