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Finding the Third Proportional to 178,576 and 276,684

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Solution

The third proportional to 178,576 and 276,684 is: 428,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576 : 276,684 = 276,684 : x
  2. Step 2: Convert to fraction form
    178,576/276,684 = 276,684/x
  3. Step 3: Cross multiply
    178,576x = 276,684 × 276,684
  4. Step 4: Simplify right side
    178,576x = 76,554,035,856
  5. Step 5: Solve for x
    x = 76,554,035,856/178,576
  6. Step 6: Final answer
    x = 428,691.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.