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Finding the Third Proportional to 159,850.50 and 234,591

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Solution

The third proportional to 159,850.50 and 234,591 is: 344,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,850.50 : 234,591 = 234,591 : x
  2. Step 2: Convert to fraction form
    159,850.50/234,591 = 234,591/x
  3. Step 3: Cross multiply
    159,850.50x = 234,591 × 234,591
  4. Step 4: Simplify right side
    159,850.50x = 55,032,937,281
  5. Step 5: Solve for x
    x = 55,032,937,281/159,850.50
  6. Step 6: Final answer
    x = 344,277.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.