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Finding the Third Proportional to 183,690 and 259,992

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Solution

The third proportional to 183,690 and 259,992 is: 367,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,690 : 259,992 = 259,992 : x
  2. Step 2: Convert to fraction form
    183,690/259,992 = 259,992/x
  3. Step 3: Cross multiply
    183,690x = 259,992 × 259,992
  4. Step 4: Simplify right side
    183,690x = 67,595,840,064
  5. Step 5: Solve for x
    x = 67,595,840,064/183,690
  6. Step 6: Final answer
    x = 367,988.68

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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.