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Finding the Third Proportional to 183,297.94 and 276,792.19

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Solution

The third proportional to 183,297.94 and 276,792.19 is: 417,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,297.94 : 276,792.19 = 276,792.19 : x
  2. Step 2: Convert to fraction form
    183,297.94/276,792.19 = 276,792.19/x
  3. Step 3: Cross multiply
    183,297.94x = 276,792.19 × 276,792.19
  4. Step 4: Simplify right side
    183,297.94x = 76,613,915,061.04
  5. Step 5: Solve for x
    x = 76,613,915,061.04/183,297.94
  6. Step 6: Final answer
    x = 417,974.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.