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Finding the Third Proportional to 88,149.75 and 190,326

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Solution

The third proportional to 88,149.75 and 190,326 is: 410,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,149.75 : 190,326 = 190,326 : x
  2. Step 2: Convert to fraction form
    88,149.75/190,326 = 190,326/x
  3. Step 3: Cross multiply
    88,149.75x = 190,326 × 190,326
  4. Step 4: Simplify right side
    88,149.75x = 36,223,986,276
  5. Step 5: Solve for x
    x = 36,223,986,276/88,149.75
  6. Step 6: Final answer
    x = 410,936.91

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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.