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Finding the Third Proportional to 204,693 and 301,188

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Solution

The third proportional to 204,693 and 301,188 is: 443,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,693 : 301,188 = 301,188 : x
  2. Step 2: Convert to fraction form
    204,693/301,188 = 301,188/x
  3. Step 3: Cross multiply
    204,693x = 301,188 × 301,188
  4. Step 4: Simplify right side
    204,693x = 90,714,211,344
  5. Step 5: Solve for x
    x = 90,714,211,344/204,693
  6. Step 6: Final answer
    x = 443,172.03

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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.