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Finding the Third Proportional to 204,702 and 301,200

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Solution

The third proportional to 204,702 and 301,200 is: 443,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,702 : 301,200 = 301,200 : x
  2. Step 2: Convert to fraction form
    204,702/301,200 = 301,200/x
  3. Step 3: Cross multiply
    204,702x = 301,200 × 301,200
  4. Step 4: Simplify right side
    204,702x = 90,721,440,000
  5. Step 5: Solve for x
    x = 90,721,440,000/204,702
  6. Step 6: Final answer
    x = 443,187.85

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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.