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Finding the Third Proportional to 133,674 and 284,826

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Solution

The third proportional to 133,674 and 284,826 is: 606,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,674 : 284,826 = 284,826 : x
  2. Step 2: Convert to fraction form
    133,674/284,826 = 284,826/x
  3. Step 3: Cross multiply
    133,674x = 284,826 × 284,826
  4. Step 4: Simplify right side
    133,674x = 81,125,850,276
  5. Step 5: Solve for x
    x = 81,125,850,276/133,674
  6. Step 6: Final answer
    x = 606,893.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.