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Finding the Third Proportional to 156,642 and 235,655

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Solution

The third proportional to 156,642 and 235,655 is: 354,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,642 : 235,655 = 235,655 : x
  2. Step 2: Convert to fraction form
    156,642/235,655 = 235,655/x
  3. Step 3: Cross multiply
    156,642x = 235,655 × 235,655
  4. Step 4: Simplify right side
    156,642x = 55,533,279,025
  5. Step 5: Solve for x
    x = 55,533,279,025/156,642
  6. Step 6: Final answer
    x = 354,523.56

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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.