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Finding the Third Proportional to 188,243 and 276,085

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Solution

The third proportional to 188,243 and 276,085 is: 404,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,243 : 276,085 = 276,085 : x
  2. Step 2: Convert to fraction form
    188,243/276,085 = 276,085/x
  3. Step 3: Cross multiply
    188,243x = 276,085 × 276,085
  4. Step 4: Simplify right side
    188,243x = 76,222,927,225
  5. Step 5: Solve for x
    x = 76,222,927,225/188,243
  6. Step 6: Final answer
    x = 404,917.72

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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.