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Finding the Third Proportional to 148,034.25 and 219,499.88

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Solution

The third proportional to 148,034.25 and 219,499.88 is: 325,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034.25 : 219,499.88 = 219,499.88 : x
  2. Step 2: Convert to fraction form
    148,034.25/219,499.88 = 219,499.88/x
  3. Step 3: Cross multiply
    148,034.25x = 219,499.88 × 219,499.88
  4. Step 4: Simplify right side
    148,034.25x = 48,180,195,125.02
  5. Step 5: Solve for x
    x = 48,180,195,125.02/148,034.25
  6. Step 6: Final answer
    x = 325,466.54

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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.