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Finding the Third Proportional to 193,576 and 284,651

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Solution

The third proportional to 193,576 and 284,651 is: 418,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,576 : 284,651 = 284,651 : x
  2. Step 2: Convert to fraction form
    193,576/284,651 = 284,651/x
  3. Step 3: Cross multiply
    193,576x = 284,651 × 284,651
  4. Step 4: Simplify right side
    193,576x = 81,026,191,801
  5. Step 5: Solve for x
    x = 81,026,191,801/193,576
  6. Step 6: Final answer
    x = 418,575.61

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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.