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Finding the Third Proportional to 183,579.75 and 267,381

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Solution

The third proportional to 183,579.75 and 267,381 is: 389,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,579.75 : 267,381 = 267,381 : x
  2. Step 2: Convert to fraction form
    183,579.75/267,381 = 267,381/x
  3. Step 3: Cross multiply
    183,579.75x = 267,381 × 267,381
  4. Step 4: Simplify right side
    183,579.75x = 71,492,599,161
  5. Step 5: Solve for x
    x = 71,492,599,161/183,579.75
  6. Step 6: Final answer
    x = 389,436.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.