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Finding the Third Proportional to 193,533 and 293,214

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Solution

The third proportional to 193,533 and 293,214 is: 444,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,533 : 293,214 = 293,214 : x
  2. Step 2: Convert to fraction form
    193,533/293,214 = 293,214/x
  3. Step 3: Cross multiply
    193,533x = 293,214 × 293,214
  4. Step 4: Simplify right side
    193,533x = 85,974,449,796
  5. Step 5: Solve for x
    x = 85,974,449,796/193,533
  6. Step 6: Final answer
    x = 444,236.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.