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Finding the Third Proportional to 166,716 and 365,049

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Solution

The third proportional to 166,716 and 365,049 is: 799,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,716 : 365,049 = 365,049 : x
  2. Step 2: Convert to fraction form
    166,716/365,049 = 365,049/x
  3. Step 3: Cross multiply
    166,716x = 365,049 × 365,049
  4. Step 4: Simplify right side
    166,716x = 133,260,772,401
  5. Step 5: Solve for x
    x = 133,260,772,401/166,716
  6. Step 6: Final answer
    x = 799,328.03

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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.