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Finding the Third Proportional to 90,960 and 198,440

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Solution

The third proportional to 90,960 and 198,440 is: 432,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,960 : 198,440 = 198,440 : x
  2. Step 2: Convert to fraction form
    90,960/198,440 = 198,440/x
  3. Step 3: Cross multiply
    90,960x = 198,440 × 198,440
  4. Step 4: Simplify right side
    90,960x = 39,378,433,600
  5. Step 5: Solve for x
    x = 39,378,433,600/90,960
  6. Step 6: Final answer
    x = 432,920.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.