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Finding the Third Proportional to 188,552.25 and 410,346

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Solution

The third proportional to 188,552.25 and 410,346 is: 893,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,552.25 : 410,346 = 410,346 : x
  2. Step 2: Convert to fraction form
    188,552.25/410,346 = 410,346/x
  3. Step 3: Cross multiply
    188,552.25x = 410,346 × 410,346
  4. Step 4: Simplify right side
    188,552.25x = 168,383,839,716
  5. Step 5: Solve for x
    x = 168,383,839,716/188,552.25
  6. Step 6: Final answer
    x = 893,035.43

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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.