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Finding the Third Proportional to 156,066 and 337,092

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Solution

The third proportional to 156,066 and 337,092 is: 728,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,066 : 337,092 = 337,092 : x
  2. Step 2: Convert to fraction form
    156,066/337,092 = 337,092/x
  3. Step 3: Cross multiply
    156,066x = 337,092 × 337,092
  4. Step 4: Simplify right side
    156,066x = 113,631,016,464
  5. Step 5: Solve for x
    x = 113,631,016,464/156,066
  6. Step 6: Final answer
    x = 728,095.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.