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Finding the Third Proportional to 156,471.75 and 235,436.63

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Solution

The third proportional to 156,471.75 and 235,436.63 is: 354,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471.75 : 235,436.63 = 235,436.63 : x
  2. Step 2: Convert to fraction form
    156,471.75/235,436.63 = 235,436.63/x
  3. Step 3: Cross multiply
    156,471.75x = 235,436.63 × 235,436.63
  4. Step 4: Simplify right side
    156,471.75x = 55,430,404,391.39
  5. Step 5: Solve for x
    x = 55,430,404,391.39/156,471.75
  6. Step 6: Final answer
    x = 354,251.83

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Why These Related Problems?

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