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Finding the Third Proportional to 193,840 and 411,156

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Solution

The third proportional to 193,840 and 411,156 is: 872,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,840 : 411,156 = 411,156 : x
  2. Step 2: Convert to fraction form
    193,840/411,156 = 411,156/x
  3. Step 3: Cross multiply
    193,840x = 411,156 × 411,156
  4. Step 4: Simplify right side
    193,840x = 169,049,256,336
  5. Step 5: Solve for x
    x = 169,049,256,336/193,840
  6. Step 6: Final answer
    x = 872,107.18

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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.