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Finding the Third Proportional to 194,720 and 418,525

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Solution

The third proportional to 194,720 and 418,525 is: 899,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,720 : 418,525 = 418,525 : x
  2. Step 2: Convert to fraction form
    194,720/418,525 = 418,525/x
  3. Step 3: Cross multiply
    194,720x = 418,525 × 418,525
  4. Step 4: Simplify right side
    194,720x = 175,163,175,625
  5. Step 5: Solve for x
    x = 175,163,175,625/194,720
  6. Step 6: Final answer
    x = 899,564.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.