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Finding the Third Proportional to 143,966 and 225,326

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Solution

The third proportional to 143,966 and 225,326 is: 352,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,966 : 225,326 = 225,326 : x
  2. Step 2: Convert to fraction form
    143,966/225,326 = 225,326/x
  3. Step 3: Cross multiply
    143,966x = 225,326 × 225,326
  4. Step 4: Simplify right side
    143,966x = 50,771,806,276
  5. Step 5: Solve for x
    x = 50,771,806,276/143,966
  6. Step 6: Final answer
    x = 352,665.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.