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Finding the Third Proportional to 148,883.06 and 324,534.09

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Solution

The third proportional to 148,883.06 and 324,534.09 is: 707,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,883.06 : 324,534.09 = 324,534.09 : x
  2. Step 2: Convert to fraction form
    148,883.06/324,534.09 = 324,534.09/x
  3. Step 3: Cross multiply
    148,883.06x = 324,534.09 × 324,534.09
  4. Step 4: Simplify right side
    148,883.06x = 105,322,378,006.13
  5. Step 5: Solve for x
    x = 105,322,378,006.13/148,883.06
  6. Step 6: Final answer
    x = 707,416.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.