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Finding the Third Proportional to 156,871.69 and 235,665.56

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Solution

The third proportional to 156,871.69 and 235,665.56 is: 354,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,871.69 : 235,665.56 = 235,665.56 : x
  2. Step 2: Convert to fraction form
    156,871.69/235,665.56 = 235,665.56/x
  3. Step 3: Cross multiply
    156,871.69x = 235,665.56 × 235,665.56
  4. Step 4: Simplify right side
    156,871.69x = 55,538,257,348.44
  5. Step 5: Solve for x
    x = 55,538,257,348.44/156,871.69
  6. Step 6: Final answer
    x = 354,036.21

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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.