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Finding the Third Proportional to 156,224.25 and 236,524.50

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Solution

The third proportional to 156,224.25 and 236,524.50 is: 358,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,224.25 : 236,524.50 = 236,524.50 : x
  2. Step 2: Convert to fraction form
    156,224.25/236,524.50 = 236,524.50/x
  3. Step 3: Cross multiply
    156,224.25x = 236,524.50 × 236,524.50
  4. Step 4: Simplify right side
    156,224.25x = 55,943,839,100.25
  5. Step 5: Solve for x
    x = 55,943,839,100.25/156,224.25
  6. Step 6: Final answer
    x = 358,099.59

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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.