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Finding the Third Proportional to 193,938 and 415,524

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Solution

The third proportional to 193,938 and 415,524 is: 890,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,938 : 415,524 = 415,524 : x
  2. Step 2: Convert to fraction form
    193,938/415,524 = 415,524/x
  3. Step 3: Cross multiply
    193,938x = 415,524 × 415,524
  4. Step 4: Simplify right side
    193,938x = 172,660,194,576
  5. Step 5: Solve for x
    x = 172,660,194,576/193,938
  6. Step 6: Final answer
    x = 890,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.