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Finding the Third Proportional to 193,524 and 293,203

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Solution

The third proportional to 193,524 and 293,203 is: 444,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524 : 293,203 = 293,203 : x
  2. Step 2: Convert to fraction form
    193,524/293,203 = 293,203/x
  3. Step 3: Cross multiply
    193,524x = 293,203 × 293,203
  4. Step 4: Simplify right side
    193,524x = 85,967,999,209
  5. Step 5: Solve for x
    x = 85,967,999,209/193,524
  6. Step 6: Final answer
    x = 444,223.97

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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.