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Finding the Third Proportional to 188,493 and 410,277

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Solution

The third proportional to 188,493 and 410,277 is: 893,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,493 : 410,277 = 410,277 : x
  2. Step 2: Convert to fraction form
    188,493/410,277 = 410,277/x
  3. Step 3: Cross multiply
    188,493x = 410,277 × 410,277
  4. Step 4: Simplify right side
    188,493x = 168,327,216,729
  5. Step 5: Solve for x
    x = 168,327,216,729/188,493
  6. Step 6: Final answer
    x = 893,015.74

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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.