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Finding the Third Proportional to 151,249.50 and 331,567.50

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Solution

The third proportional to 151,249.50 and 331,567.50 is: 726,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,249.50 : 331,567.50 = 331,567.50 : x
  2. Step 2: Convert to fraction form
    151,249.50/331,567.50 = 331,567.50/x
  3. Step 3: Cross multiply
    151,249.50x = 331,567.50 × 331,567.50
  4. Step 4: Simplify right side
    151,249.50x = 109,937,007,056.25
  5. Step 5: Solve for x
    x = 109,937,007,056.25/151,249.50
  6. Step 6: Final answer
    x = 726,858.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.