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Finding the Third Proportional to 133,269 and 201,489

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Solution

The third proportional to 133,269 and 201,489 is: 304,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,269 : 201,489 = 201,489 : x
  2. Step 2: Convert to fraction form
    133,269/201,489 = 201,489/x
  3. Step 3: Cross multiply
    133,269x = 201,489 × 201,489
  4. Step 4: Simplify right side
    133,269x = 40,597,817,121
  5. Step 5: Solve for x
    x = 40,597,817,121/133,269
  6. Step 6: Final answer
    x = 304,630.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.