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Finding the Third Proportional to 166,380 and 365,943

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Solution

The third proportional to 166,380 and 365,943 is: 804,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,380 : 365,943 = 365,943 : x
  2. Step 2: Convert to fraction form
    166,380/365,943 = 365,943/x
  3. Step 3: Cross multiply
    166,380x = 365,943 × 365,943
  4. Step 4: Simplify right side
    166,380x = 133,914,279,249
  5. Step 5: Solve for x
    x = 133,914,279,249/166,380
  6. Step 6: Final answer
    x = 804,870.05

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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.