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Finding the Third Proportional to 90,260 and 193,330

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Solution

The third proportional to 90,260 and 193,330 is: 414,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,260 : 193,330 = 193,330 : x
  2. Step 2: Convert to fraction form
    90,260/193,330 = 193,330/x
  3. Step 3: Cross multiply
    90,260x = 193,330 × 193,330
  4. Step 4: Simplify right side
    90,260x = 37,376,488,900
  5. Step 5: Solve for x
    x = 37,376,488,900/90,260
  6. Step 6: Final answer
    x = 414,098.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.