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Finding the Third Proportional to 84,530.25 and 178,491.38

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Solution

The third proportional to 84,530.25 and 178,491.38 is: 376,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530.25 : 178,491.38 = 178,491.38 : x
  2. Step 2: Convert to fraction form
    84,530.25/178,491.38 = 178,491.38/x
  3. Step 3: Cross multiply
    84,530.25x = 178,491.38 × 178,491.38
  4. Step 4: Simplify right side
    84,530.25x = 31,859,170,949.39
  5. Step 5: Solve for x
    x = 31,859,170,949.39/84,530.25
  6. Step 6: Final answer
    x = 376,896.68

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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.