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Finding the Third Proportional to 139,538.06 and 305,672.81

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Solution

The third proportional to 139,538.06 and 305,672.81 is: 669,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.06 : 305,672.81 = 305,672.81 : x
  2. Step 2: Convert to fraction form
    139,538.06/305,672.81 = 305,672.81/x
  3. Step 3: Cross multiply
    139,538.06x = 305,672.81 × 305,672.81
  4. Step 4: Simplify right side
    139,538.06x = 93,435,868,301.66
  5. Step 5: Solve for x
    x = 93,435,868,301.66/139,538.06
  6. Step 6: Final answer
    x = 669,608.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.