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Finding the Third Proportional to 166,301 and 365,818

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Solution

The third proportional to 166,301 and 365,818 is: 804,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,301 : 365,818 = 365,818 : x
  2. Step 2: Convert to fraction form
    166,301/365,818 = 365,818/x
  3. Step 3: Cross multiply
    166,301x = 365,818 × 365,818
  4. Step 4: Simplify right side
    166,301x = 133,822,809,124
  5. Step 5: Solve for x
    x = 133,822,809,124/166,301
  6. Step 6: Final answer
    x = 804,702.37

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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.