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Finding the Third Proportional to 135,472 and 201,245

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Solution

The third proportional to 135,472 and 201,245 is: 298,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472 : 201,245 = 201,245 : x
  2. Step 2: Convert to fraction form
    135,472/201,245 = 201,245/x
  3. Step 3: Cross multiply
    135,472x = 201,245 × 201,245
  4. Step 4: Simplify right side
    135,472x = 40,499,550,025
  5. Step 5: Solve for x
    x = 40,499,550,025/135,472
  6. Step 6: Final answer
    x = 298,951.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.