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Finding the Third Proportional to 166,584 and 364,236

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Solution

The third proportional to 166,584 and 364,236 is: 796,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,584 : 364,236 = 364,236 : x
  2. Step 2: Convert to fraction form
    166,584/364,236 = 364,236/x
  3. Step 3: Cross multiply
    166,584x = 364,236 × 364,236
  4. Step 4: Simplify right side
    166,584x = 132,667,863,696
  5. Step 5: Solve for x
    x = 132,667,863,696/166,584
  6. Step 6: Final answer
    x = 796,402.20

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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.