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Finding the Third Proportional to 90,339 and 194,555.25

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Solution

The third proportional to 90,339 and 194,555.25 is: 418,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,339 : 194,555.25 = 194,555.25 : x
  2. Step 2: Convert to fraction form
    90,339/194,555.25 = 194,555.25/x
  3. Step 3: Cross multiply
    90,339x = 194,555.25 × 194,555.25
  4. Step 4: Simplify right side
    90,339x = 37,851,745,302.56
  5. Step 5: Solve for x
    x = 37,851,745,302.56/90,339
  6. Step 6: Final answer
    x = 418,996.73

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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.