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Finding the Third Proportional to 193,218 and 284,230

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Solution

The third proportional to 193,218 and 284,230 is: 418,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,218 : 284,230 = 284,230 : x
  2. Step 2: Convert to fraction form
    193,218/284,230 = 284,230/x
  3. Step 3: Cross multiply
    193,218x = 284,230 × 284,230
  4. Step 4: Simplify right side
    193,218x = 80,786,692,900
  5. Step 5: Solve for x
    x = 80,786,692,900/193,218
  6. Step 6: Final answer
    x = 418,111.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.