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Finding the Third Proportional to 193,197 and 295,532.25

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Solution

The third proportional to 193,197 and 295,532.25 is: 452,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,197 : 295,532.25 = 295,532.25 : x
  2. Step 2: Convert to fraction form
    193,197/295,532.25 = 295,532.25/x
  3. Step 3: Cross multiply
    193,197x = 295,532.25 × 295,532.25
  4. Step 4: Simplify right side
    193,197x = 87,339,310,790.06
  5. Step 5: Solve for x
    x = 87,339,310,790.06/193,197
  6. Step 6: Final answer
    x = 452,073.85

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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.