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Finding the Third Proportional to 188,524 and 410,366

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Solution

The third proportional to 188,524 and 410,366 is: 893,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,524 : 410,366 = 410,366 : x
  2. Step 2: Convert to fraction form
    188,524/410,366 = 410,366/x
  3. Step 3: Cross multiply
    188,524x = 410,366 × 410,366
  4. Step 4: Simplify right side
    188,524x = 168,400,253,956
  5. Step 5: Solve for x
    x = 168,400,253,956/188,524
  6. Step 6: Final answer
    x = 893,256.32

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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.