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Finding the Third Proportional to 166,821.75 and 393,615.56

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Solution

The third proportional to 166,821.75 and 393,615.56 is: 928,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,821.75 : 393,615.56 = 393,615.56 : x
  2. Step 2: Convert to fraction form
    166,821.75/393,615.56 = 393,615.56/x
  3. Step 3: Cross multiply
    166,821.75x = 393,615.56 × 393,615.56
  4. Step 4: Simplify right side
    166,821.75x = 154,933,211,042.19
  5. Step 5: Solve for x
    x = 154,933,211,042.19/166,821.75
  6. Step 6: Final answer
    x = 928,735.08

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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.