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Finding the Third Proportional to 141,608 and 217,326

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Solution

The third proportional to 141,608 and 217,326 is: 333,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,608 : 217,326 = 217,326 : x
  2. Step 2: Convert to fraction form
    141,608/217,326 = 217,326/x
  3. Step 3: Cross multiply
    141,608x = 217,326 × 217,326
  4. Step 4: Simplify right side
    141,608x = 47,230,590,276
  5. Step 5: Solve for x
    x = 47,230,590,276/141,608
  6. Step 6: Final answer
    x = 333,530.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.