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Finding the Third Proportional to 166,330 and 365,875

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Solution

The third proportional to 166,330 and 365,875 is: 804,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,330 : 365,875 = 365,875 : x
  2. Step 2: Convert to fraction form
    166,330/365,875 = 365,875/x
  3. Step 3: Cross multiply
    166,330x = 365,875 × 365,875
  4. Step 4: Simplify right side
    166,330x = 133,864,515,625
  5. Step 5: Solve for x
    x = 133,864,515,625/166,330
  6. Step 6: Final answer
    x = 804,812.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.