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Finding the Third Proportional to 171,960.75 and 193,284

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Solution

The third proportional to 171,960.75 and 193,284 is: 217,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,960.75 : 193,284 = 193,284 : x
  2. Step 2: Convert to fraction form
    171,960.75/193,284 = 193,284/x
  3. Step 3: Cross multiply
    171,960.75x = 193,284 × 193,284
  4. Step 4: Simplify right side
    171,960.75x = 37,358,704,656
  5. Step 5: Solve for x
    x = 37,358,704,656/171,960.75
  6. Step 6: Final answer
    x = 217,251.35

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.