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Finding the Third Proportional to 149,568 and 322,617

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Solution

The third proportional to 149,568 and 322,617 is: 695,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568 : 322,617 = 322,617 : x
  2. Step 2: Convert to fraction form
    149,568/322,617 = 322,617/x
  3. Step 3: Cross multiply
    149,568x = 322,617 × 322,617
  4. Step 4: Simplify right side
    149,568x = 104,081,728,689
  5. Step 5: Solve for x
    x = 104,081,728,689/149,568
  6. Step 6: Final answer
    x = 695,882.33

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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.