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Finding the Third Proportional to 188,981 and 411,177

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Solution

The third proportional to 188,981 and 411,177 is: 894,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,981 : 411,177 = 411,177 : x
  2. Step 2: Convert to fraction form
    188,981/411,177 = 411,177/x
  3. Step 3: Cross multiply
    188,981x = 411,177 × 411,177
  4. Step 4: Simplify right side
    188,981x = 169,066,525,329
  5. Step 5: Solve for x
    x = 169,066,525,329/188,981
  6. Step 6: Final answer
    x = 894,621.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.