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Finding the Third Proportional to 186,981 and 400,191

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Solution

The third proportional to 186,981 and 400,191 is: 856,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981 : 400,191 = 400,191 : x
  2. Step 2: Convert to fraction form
    186,981/400,191 = 400,191/x
  3. Step 3: Cross multiply
    186,981x = 400,191 × 400,191
  4. Step 4: Simplify right side
    186,981x = 160,152,836,481
  5. Step 5: Solve for x
    x = 160,152,836,481/186,981
  6. Step 6: Final answer
    x = 856,519.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.