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Finding the Third Proportional to 166,844.50 and 393,686.75

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Solution

The third proportional to 166,844.50 and 393,686.75 is: 928,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,844.50 : 393,686.75 = 393,686.75 : x
  2. Step 2: Convert to fraction form
    166,844.50/393,686.75 = 393,686.75/x
  3. Step 3: Cross multiply
    166,844.50x = 393,686.75 × 393,686.75
  4. Step 4: Simplify right side
    166,844.50x = 154,989,257,125.56
  5. Step 5: Solve for x
    x = 154,989,257,125.56/166,844.50
  6. Step 6: Final answer
    x = 928,944.36

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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.