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Finding the Third Proportional to 166,745 and 365,113

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Solution

The third proportional to 166,745 and 365,113 is: 799,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,745 : 365,113 = 365,113 : x
  2. Step 2: Convert to fraction form
    166,745/365,113 = 365,113/x
  3. Step 3: Cross multiply
    166,745x = 365,113 × 365,113
  4. Step 4: Simplify right side
    166,745x = 133,307,502,769
  5. Step 5: Solve for x
    x = 133,307,502,769/166,745
  6. Step 6: Final answer
    x = 799,469.27

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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.