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Finding the Third Proportional to 166,288.50 and 364,766.34

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Solution

The third proportional to 166,288.50 and 364,766.34 is: 800,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,288.50 : 364,766.34 = 364,766.34 : x
  2. Step 2: Convert to fraction form
    166,288.50/364,766.34 = 364,766.34/x
  3. Step 3: Cross multiply
    166,288.50x = 364,766.34 × 364,766.34
  4. Step 4: Simplify right side
    166,288.50x = 133,054,485,532.74
  5. Step 5: Solve for x
    x = 133,054,485,532.74/166,288.50
  6. Step 6: Final answer
    x = 800,142.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.