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Finding the Third Proportional to 90,652 and 196,370

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Solution

The third proportional to 90,652 and 196,370 is: 425,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,652 : 196,370 = 196,370 : x
  2. Step 2: Convert to fraction form
    90,652/196,370 = 196,370/x
  3. Step 3: Cross multiply
    90,652x = 196,370 × 196,370
  4. Step 4: Simplify right side
    90,652x = 38,561,176,900
  5. Step 5: Solve for x
    x = 38,561,176,900/90,652
  6. Step 6: Final answer
    x = 425,375.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.