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Finding the Third Proportional to 198,794 and 295,491

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Solution

The third proportional to 198,794 and 295,491 is: 439,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794 : 295,491 = 295,491 : x
  2. Step 2: Convert to fraction form
    198,794/295,491 = 295,491/x
  3. Step 3: Cross multiply
    198,794x = 295,491 × 295,491
  4. Step 4: Simplify right side
    198,794x = 87,314,931,081
  5. Step 5: Solve for x
    x = 87,314,931,081/198,794
  6. Step 6: Final answer
    x = 439,223.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.