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Finding the Third Proportional to 148,334.50 and 219,727.50

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Solution

The third proportional to 148,334.50 and 219,727.50 is: 325,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,334.50 : 219,727.50 = 219,727.50 : x
  2. Step 2: Convert to fraction form
    148,334.50/219,727.50 = 219,727.50/x
  3. Step 3: Cross multiply
    148,334.50x = 219,727.50 × 219,727.50
  4. Step 4: Simplify right side
    148,334.50x = 48,280,174,256.25
  5. Step 5: Solve for x
    x = 48,280,174,256.25/148,334.50
  6. Step 6: Final answer
    x = 325,481.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.