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Finding the Third Proportional to 143,652 and 193,242

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Solution

The third proportional to 143,652 and 193,242 is: 259,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,652 : 193,242 = 193,242 : x
  2. Step 2: Convert to fraction form
    143,652/193,242 = 193,242/x
  3. Step 3: Cross multiply
    143,652x = 193,242 × 193,242
  4. Step 4: Simplify right side
    143,652x = 37,342,470,564
  5. Step 5: Solve for x
    x = 37,342,470,564/143,652
  6. Step 6: Final answer
    x = 259,950.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.