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Finding the Third Proportional to 194,720 and 284,420

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Solution

The third proportional to 194,720 and 284,420 is: 415,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,720 : 284,420 = 284,420 : x
  2. Step 2: Convert to fraction form
    194,720/284,420 = 284,420/x
  3. Step 3: Cross multiply
    194,720x = 284,420 × 284,420
  4. Step 4: Simplify right side
    194,720x = 80,894,736,400
  5. Step 5: Solve for x
    x = 80,894,736,400/194,720
  6. Step 6: Final answer
    x = 415,441.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.