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Finding the Third Proportional to 146,076.75 and 219,205.50

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Solution

The third proportional to 146,076.75 and 219,205.50 is: 328,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,076.75 : 219,205.50 = 219,205.50 : x
  2. Step 2: Convert to fraction form
    146,076.75/219,205.50 = 219,205.50/x
  3. Step 3: Cross multiply
    146,076.75x = 219,205.50 × 219,205.50
  4. Step 4: Simplify right side
    146,076.75x = 48,051,051,230.25
  5. Step 5: Solve for x
    x = 48,051,051,230.25/146,076.75
  6. Step 6: Final answer
    x = 328,943.87

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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.