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Finding the Third Proportional to 133,407 and 201,204

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Solution

The third proportional to 133,407 and 201,204 is: 303,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407 : 201,204 = 201,204 : x
  2. Step 2: Convert to fraction form
    133,407/201,204 = 201,204/x
  3. Step 3: Cross multiply
    133,407x = 201,204 × 201,204
  4. Step 4: Simplify right side
    133,407x = 40,483,049,616
  5. Step 5: Solve for x
    x = 40,483,049,616/133,407
  6. Step 6: Final answer
    x = 303,455.21

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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.