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Finding the Third Proportional to 183,652 and 259,954

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Solution

The third proportional to 183,652 and 259,954 is: 367,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,652 : 259,954 = 259,954 : x
  2. Step 2: Convert to fraction form
    183,652/259,954 = 259,954/x
  3. Step 3: Cross multiply
    183,652x = 259,954 × 259,954
  4. Step 4: Simplify right side
    183,652x = 67,576,082,116
  5. Step 5: Solve for x
    x = 67,576,082,116/183,652
  6. Step 6: Final answer
    x = 367,957.23

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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.