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Finding the Third Proportional to 193,932 and 411,340

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Solution

The third proportional to 193,932 and 411,340 is: 872,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,932 : 411,340 = 411,340 : x
  2. Step 2: Convert to fraction form
    193,932/411,340 = 411,340/x
  3. Step 3: Cross multiply
    193,932x = 411,340 × 411,340
  4. Step 4: Simplify right side
    193,932x = 169,200,595,600
  5. Step 5: Solve for x
    x = 169,200,595,600/193,932
  6. Step 6: Final answer
    x = 872,473.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.