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Finding the Third Proportional to 174,936 and 278,493

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Solution

The third proportional to 174,936 and 278,493 is: 443,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,936 : 278,493 = 278,493 : x
  2. Step 2: Convert to fraction form
    174,936/278,493 = 278,493/x
  3. Step 3: Cross multiply
    174,936x = 278,493 × 278,493
  4. Step 4: Simplify right side
    174,936x = 77,558,351,049
  5. Step 5: Solve for x
    x = 77,558,351,049/174,936
  6. Step 6: Final answer
    x = 443,352.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.