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Finding the Third Proportional to 186,512 and 398,656

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Solution

The third proportional to 186,512 and 398,656 is: 852,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512 : 398,656 = 398,656 : x
  2. Step 2: Convert to fraction form
    186,512/398,656 = 398,656/x
  3. Step 3: Cross multiply
    186,512x = 398,656 × 398,656
  4. Step 4: Simplify right side
    186,512x = 158,926,606,336
  5. Step 5: Solve for x
    x = 158,926,606,336/186,512
  6. Step 6: Final answer
    x = 852,098.56

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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.