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Finding the Third Proportional to 133,084 and 284,616

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Solution

The third proportional to 133,084 and 284,616 is: 608,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 284,616 = 284,616 : x
  2. Step 2: Convert to fraction form
    133,084/284,616 = 284,616/x
  3. Step 3: Cross multiply
    133,084x = 284,616 × 284,616
  4. Step 4: Simplify right side
    133,084x = 81,006,267,456
  5. Step 5: Solve for x
    x = 81,006,267,456/133,084
  6. Step 6: Final answer
    x = 608,685.25

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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.