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Finding the Third Proportional to 133,716 and 282,456

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Solution

The third proportional to 133,716 and 282,456 is: 596,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,716 : 282,456 = 282,456 : x
  2. Step 2: Convert to fraction form
    133,716/282,456 = 282,456/x
  3. Step 3: Cross multiply
    133,716x = 282,456 × 282,456
  4. Step 4: Simplify right side
    133,716x = 79,781,391,936
  5. Step 5: Solve for x
    x = 79,781,391,936/133,716
  6. Step 6: Final answer
    x = 596,648.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.