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Finding the Third Proportional to 193,139 and 403,927

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Solution

The third proportional to 193,139 and 403,927 is: 844,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139 : 403,927 = 403,927 : x
  2. Step 2: Convert to fraction form
    193,139/403,927 = 403,927/x
  3. Step 3: Cross multiply
    193,139x = 403,927 × 403,927
  4. Step 4: Simplify right side
    193,139x = 163,157,021,329
  5. Step 5: Solve for x
    x = 163,157,021,329/193,139
  6. Step 6: Final answer
    x = 844,764.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.