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Finding the Third Proportional to 183,692 and 259,995

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Solution

The third proportional to 183,692 and 259,995 is: 367,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,692 : 259,995 = 259,995 : x
  2. Step 2: Convert to fraction form
    183,692/259,995 = 259,995/x
  3. Step 3: Cross multiply
    183,692x = 259,995 × 259,995
  4. Step 4: Simplify right side
    183,692x = 67,597,400,025
  5. Step 5: Solve for x
    x = 67,597,400,025/183,692
  6. Step 6: Final answer
    x = 367,993.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.