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Finding the Third Proportional to 133,032 and 284,512

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Solution

The third proportional to 133,032 and 284,512 is: 608,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 284,512 = 284,512 : x
  2. Step 2: Convert to fraction form
    133,032/284,512 = 284,512/x
  3. Step 3: Cross multiply
    133,032x = 284,512 × 284,512
  4. Step 4: Simplify right side
    133,032x = 80,947,078,144
  5. Step 5: Solve for x
    x = 80,947,078,144/133,032
  6. Step 6: Final answer
    x = 608,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.