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Finding the Third Proportional to 151,435.50 and 237,589.50

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Solution

The third proportional to 151,435.50 and 237,589.50 is: 372,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,435.50 : 237,589.50 = 237,589.50 : x
  2. Step 2: Convert to fraction form
    151,435.50/237,589.50 = 237,589.50/x
  3. Step 3: Cross multiply
    151,435.50x = 237,589.50 × 237,589.50
  4. Step 4: Simplify right side
    151,435.50x = 56,448,770,510.25
  5. Step 5: Solve for x
    x = 56,448,770,510.25/151,435.50
  6. Step 6: Final answer
    x = 372,757.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.