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Finding the Third Proportional to 147,806.44 and 325,135.69

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Solution

The third proportional to 147,806.44 and 325,135.69 is: 715,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,806.44 : 325,135.69 = 325,135.69 : x
  2. Step 2: Convert to fraction form
    147,806.44/325,135.69 = 325,135.69/x
  3. Step 3: Cross multiply
    147,806.44x = 325,135.69 × 325,135.69
  4. Step 4: Simplify right side
    147,806.44x = 105,713,215,286.10
  5. Step 5: Solve for x
    x = 105,713,215,286.10/147,806.44
  6. Step 6: Final answer
    x = 715,213.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.