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Finding the Third Proportional to 84,272 and 194,600

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Solution

The third proportional to 84,272 and 194,600 is: 449,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,272 : 194,600 = 194,600 : x
  2. Step 2: Convert to fraction form
    84,272/194,600 = 194,600/x
  3. Step 3: Cross multiply
    84,272x = 194,600 × 194,600
  4. Step 4: Simplify right side
    84,272x = 37,869,160,000
  5. Step 5: Solve for x
    x = 37,869,160,000/84,272
  6. Step 6: Final answer
    x = 449,368.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.