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Finding the Third Proportional to 102,238 and 155,197

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Solution

The third proportional to 102,238 and 155,197 is: 235,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238 : 155,197 = 155,197 : x
  2. Step 2: Convert to fraction form
    102,238/155,197 = 155,197/x
  3. Step 3: Cross multiply
    102,238x = 155,197 × 155,197
  4. Step 4: Simplify right side
    102,238x = 24,086,108,809
  5. Step 5: Solve for x
    x = 24,086,108,809/102,238
  6. Step 6: Final answer
    x = 235,588.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.