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Finding the Third Proportional to 151,549 and 237,745.50

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Solution

The third proportional to 151,549 and 237,745.50 is: 372,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,549 : 237,745.50 = 237,745.50 : x
  2. Step 2: Convert to fraction form
    151,549/237,745.50 = 237,745.50/x
  3. Step 3: Cross multiply
    151,549x = 237,745.50 × 237,745.50
  4. Step 4: Simplify right side
    151,549x = 56,522,922,770.25
  5. Step 5: Solve for x
    x = 56,522,922,770.25/151,549
  6. Step 6: Final answer
    x = 372,967.97

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