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Finding the Third Proportional to 156,010.50 and 239,847.75

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Solution

The third proportional to 156,010.50 and 239,847.75 is: 368,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,010.50 : 239,847.75 = 239,847.75 : x
  2. Step 2: Convert to fraction form
    156,010.50/239,847.75 = 239,847.75/x
  3. Step 3: Cross multiply
    156,010.50x = 239,847.75 × 239,847.75
  4. Step 4: Simplify right side
    156,010.50x = 57,526,943,180.06
  5. Step 5: Solve for x
    x = 57,526,943,180.06/156,010.50
  6. Step 6: Final answer
    x = 368,737.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.