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Finding the Third Proportional to 188,292 and 276,156

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Solution

The third proportional to 188,292 and 276,156 is: 405,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,292 : 276,156 = 276,156 : x
  2. Step 2: Convert to fraction form
    188,292/276,156 = 276,156/x
  3. Step 3: Cross multiply
    188,292x = 276,156 × 276,156
  4. Step 4: Simplify right side
    188,292x = 76,262,136,336
  5. Step 5: Solve for x
    x = 76,262,136,336/188,292
  6. Step 6: Final answer
    x = 405,020.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.