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Finding the Third Proportional to 156,936 and 235,755

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Solution

The third proportional to 156,936 and 235,755 is: 354,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 235,755 = 235,755 : x
  2. Step 2: Convert to fraction form
    156,936/235,755 = 235,755/x
  3. Step 3: Cross multiply
    156,936x = 235,755 × 235,755
  4. Step 4: Simplify right side
    156,936x = 55,580,420,025
  5. Step 5: Solve for x
    x = 55,580,420,025/156,936
  6. Step 6: Final answer
    x = 354,159.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.