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Finding the Third Proportional to 193,257 and 434,016

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Solution

The third proportional to 193,257 and 434,016 is: 974,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,257 : 434,016 = 434,016 : x
  2. Step 2: Convert to fraction form
    193,257/434,016 = 434,016/x
  3. Step 3: Cross multiply
    193,257x = 434,016 × 434,016
  4. Step 4: Simplify right side
    193,257x = 188,369,888,256
  5. Step 5: Solve for x
    x = 188,369,888,256/193,257
  6. Step 6: Final answer
    x = 974,711.85

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.