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Finding the Third Proportional to 131,634.75 and 216,222.75

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Solution

The third proportional to 131,634.75 and 216,222.75 is: 355,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,634.75 : 216,222.75 = 216,222.75 : x
  2. Step 2: Convert to fraction form
    131,634.75/216,222.75 = 216,222.75/x
  3. Step 3: Cross multiply
    131,634.75x = 216,222.75 × 216,222.75
  4. Step 4: Simplify right side
    131,634.75x = 46,752,277,617.56
  5. Step 5: Solve for x
    x = 46,752,277,617.56/131,634.75
  6. Step 6: Final answer
    x = 355,166.68

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.