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Finding the Third Proportional to 166,741.88 and 365,104.13

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Solution

The third proportional to 166,741.88 and 365,104.13 is: 799,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,741.88 : 365,104.13 = 365,104.13 : x
  2. Step 2: Convert to fraction form
    166,741.88/365,104.13 = 365,104.13/x
  3. Step 3: Cross multiply
    166,741.88x = 365,104.13 × 365,104.13
  4. Step 4: Simplify right side
    166,741.88x = 133,301,022,092.02
  5. Step 5: Solve for x
    x = 133,301,022,092.02/166,741.88
  6. Step 6: Final answer
    x = 799,445.38

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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.