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Finding the Third Proportional to 146,877.75 and 219,759.75

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Solution

The third proportional to 146,877.75 and 219,759.75 is: 328,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,877.75 : 219,759.75 = 219,759.75 : x
  2. Step 2: Convert to fraction form
    146,877.75/219,759.75 = 219,759.75/x
  3. Step 3: Cross multiply
    146,877.75x = 219,759.75 × 219,759.75
  4. Step 4: Simplify right side
    146,877.75x = 48,294,347,720.06
  5. Step 5: Solve for x
    x = 48,294,347,720.06/146,877.75
  6. Step 6: Final answer
    x = 328,806.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.