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Finding the Third Proportional to 84,549 and 178,524

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Solution

The third proportional to 84,549 and 178,524 is: 376,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,549 : 178,524 = 178,524 : x
  2. Step 2: Convert to fraction form
    84,549/178,524 = 178,524/x
  3. Step 3: Cross multiply
    84,549x = 178,524 × 178,524
  4. Step 4: Simplify right side
    84,549x = 31,870,818,576
  5. Step 5: Solve for x
    x = 31,870,818,576/84,549
  6. Step 6: Final answer
    x = 376,950.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.