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Finding the Third Proportional to 151,606.69 and 321,696.56

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Solution

The third proportional to 151,606.69 and 321,696.56 is: 682,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,606.69 : 321,696.56 = 321,696.56 : x
  2. Step 2: Convert to fraction form
    151,606.69/321,696.56 = 321,696.56/x
  3. Step 3: Cross multiply
    151,606.69x = 321,696.56 × 321,696.56
  4. Step 4: Simplify right side
    151,606.69x = 103,488,678,324.32
  5. Step 5: Solve for x
    x = 103,488,678,324.32/151,606.69
  6. Step 6: Final answer
    x = 682,612.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.