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Finding the Third Proportional to 156,923 and 235,737

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Solution

The third proportional to 156,923 and 235,737 is: 354,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923 : 235,737 = 235,737 : x
  2. Step 2: Convert to fraction form
    156,923/235,737 = 235,737/x
  3. Step 3: Cross multiply
    156,923x = 235,737 × 235,737
  4. Step 4: Simplify right side
    156,923x = 55,571,933,169
  5. Step 5: Solve for x
    x = 55,571,933,169/156,923
  6. Step 6: Final answer
    x = 354,135.04

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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.