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Finding the Third Proportional to 193,371 and 428,214

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Solution

The third proportional to 193,371 and 428,214 is: 948,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,371 : 428,214 = 428,214 : x
  2. Step 2: Convert to fraction form
    193,371/428,214 = 428,214/x
  3. Step 3: Cross multiply
    193,371x = 428,214 × 428,214
  4. Step 4: Simplify right side
    193,371x = 183,367,229,796
  5. Step 5: Solve for x
    x = 183,367,229,796/193,371
  6. Step 6: Final answer
    x = 948,266.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.