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Finding the Third Proportional to 166,824.56 and 393,637.22

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Solution

The third proportional to 166,824.56 and 393,637.22 is: 928,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,824.56 : 393,637.22 = 393,637.22 : x
  2. Step 2: Convert to fraction form
    166,824.56/393,637.22 = 393,637.22/x
  3. Step 3: Cross multiply
    166,824.56x = 393,637.22 × 393,637.22
  4. Step 4: Simplify right side
    166,824.56x = 154,950,259,985.24
  5. Step 5: Solve for x
    x = 154,950,259,985.24/166,824.56
  6. Step 6: Final answer
    x = 928,821.62

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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.