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Finding the Third Proportional to 166,700 and 365,017

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Solution

The third proportional to 166,700 and 365,017 is: 799,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,700 : 365,017 = 365,017 : x
  2. Step 2: Convert to fraction form
    166,700/365,017 = 365,017/x
  3. Step 3: Cross multiply
    166,700x = 365,017 × 365,017
  4. Step 4: Simplify right side
    166,700x = 133,237,410,289
  5. Step 5: Solve for x
    x = 133,237,410,289/166,700
  6. Step 6: Final answer
    x = 799,264.61

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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.