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Finding the Third Proportional to 166,454 and 364,049

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Solution

The third proportional to 166,454 and 364,049 is: 796,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,454 : 364,049 = 364,049 : x
  2. Step 2: Convert to fraction form
    166,454/364,049 = 364,049/x
  3. Step 3: Cross multiply
    166,454x = 364,049 × 364,049
  4. Step 4: Simplify right side
    166,454x = 132,531,674,401
  5. Step 5: Solve for x
    x = 132,531,674,401/166,454
  6. Step 6: Final answer
    x = 796,206.01

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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.