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Finding the Third Proportional to 166,466 and 364,023

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Solution

The third proportional to 166,466 and 364,023 is: 796,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,466 : 364,023 = 364,023 : x
  2. Step 2: Convert to fraction form
    166,466/364,023 = 364,023/x
  3. Step 3: Cross multiply
    166,466x = 364,023 × 364,023
  4. Step 4: Simplify right side
    166,466x = 132,512,744,529
  5. Step 5: Solve for x
    x = 132,512,744,529/166,466
  6. Step 6: Final answer
    x = 796,034.89

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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.