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Finding the Third Proportional to 183,317 and 276,145

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Solution

The third proportional to 183,317 and 276,145 is: 415,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,317 : 276,145 = 276,145 : x
  2. Step 2: Convert to fraction form
    183,317/276,145 = 276,145/x
  3. Step 3: Cross multiply
    183,317x = 276,145 × 276,145
  4. Step 4: Simplify right side
    183,317x = 76,256,061,025
  5. Step 5: Solve for x
    x = 76,256,061,025/183,317
  6. Step 6: Final answer
    x = 415,979.21

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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.