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Finding the Third Proportional to 90,928 and 197,409

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Solution

The third proportional to 90,928 and 197,409 is: 428,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,928 : 197,409 = 197,409 : x
  2. Step 2: Convert to fraction form
    90,928/197,409 = 197,409/x
  3. Step 3: Cross multiply
    90,928x = 197,409 × 197,409
  4. Step 4: Simplify right side
    90,928x = 38,970,313,281
  5. Step 5: Solve for x
    x = 38,970,313,281/90,928
  6. Step 6: Final answer
    x = 428,584.30

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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.