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Finding the Third Proportional to 150,850.69 and 325,628.81

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Solution

The third proportional to 150,850.69 and 325,628.81 is: 702,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850.69 : 325,628.81 = 325,628.81 : x
  2. Step 2: Convert to fraction form
    150,850.69/325,628.81 = 325,628.81/x
  3. Step 3: Cross multiply
    150,850.69x = 325,628.81 × 325,628.81
  4. Step 4: Simplify right side
    150,850.69x = 106,034,123,530.16
  5. Step 5: Solve for x
    x = 106,034,123,530.16/150,850.69
  6. Step 6: Final answer
    x = 702,907.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.