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Finding the Third Proportional to 133,399 and 204,032

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Solution

The third proportional to 133,399 and 204,032 is: 312,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,399 : 204,032 = 204,032 : x
  2. Step 2: Convert to fraction form
    133,399/204,032 = 204,032/x
  3. Step 3: Cross multiply
    133,399x = 204,032 × 204,032
  4. Step 4: Simplify right side
    133,399x = 41,629,057,024
  5. Step 5: Solve for x
    x = 41,629,057,024/133,399
  6. Step 6: Final answer
    x = 312,064.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.