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Finding the Third Proportional to 166,390.50 and 364,269

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Solution

The third proportional to 166,390.50 and 364,269 is: 797,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,390.50 : 364,269 = 364,269 : x
  2. Step 2: Convert to fraction form
    166,390.50/364,269 = 364,269/x
  3. Step 3: Cross multiply
    166,390.50x = 364,269 × 364,269
  4. Step 4: Simplify right side
    166,390.50x = 132,691,904,361
  5. Step 5: Solve for x
    x = 132,691,904,361/166,390.50
  6. Step 6: Final answer
    x = 797,472.84

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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.