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Finding the Third Proportional to 156,093.75 and 235,234.13

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Solution

The third proportional to 156,093.75 and 235,234.13 is: 354,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,093.75 : 235,234.13 = 235,234.13 : x
  2. Step 2: Convert to fraction form
    156,093.75/235,234.13 = 235,234.13/x
  3. Step 3: Cross multiply
    156,093.75x = 235,234.13 × 235,234.13
  4. Step 4: Simplify right side
    156,093.75x = 55,335,093,564.52
  5. Step 5: Solve for x
    x = 55,335,093,564.52/156,093.75
  6. Step 6: Final answer
    x = 354,499.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.