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Finding the Third Proportional to 204,400 and 319,014

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Solution

The third proportional to 204,400 and 319,014 is: 497,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,400 : 319,014 = 319,014 : x
  2. Step 2: Convert to fraction form
    204,400/319,014 = 319,014/x
  3. Step 3: Cross multiply
    204,400x = 319,014 × 319,014
  4. Step 4: Simplify right side
    204,400x = 101,769,932,196
  5. Step 5: Solve for x
    x = 101,769,932,196/204,400
  6. Step 6: Final answer
    x = 497,895.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.