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Finding the Third Proportional to 194,273.52 and 276,878.69

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Solution

The third proportional to 194,273.52 and 276,878.69 is: 394,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,273.52 : 276,878.69 = 276,878.69 : x
  2. Step 2: Convert to fraction form
    194,273.52/276,878.69 = 276,878.69/x
  3. Step 3: Cross multiply
    194,273.52x = 276,878.69 × 276,878.69
  4. Step 4: Simplify right side
    194,273.52x = 76,661,806,239.77
  5. Step 5: Solve for x
    x = 76,661,806,239.77/194,273.52
  6. Step 6: Final answer
    x = 394,607.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.