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Finding the Third Proportional to 133,299 and 284,958

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Solution

The third proportional to 133,299 and 284,958 is: 609,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,299 : 284,958 = 284,958 : x
  2. Step 2: Convert to fraction form
    133,299/284,958 = 284,958/x
  3. Step 3: Cross multiply
    133,299x = 284,958 × 284,958
  4. Step 4: Simplify right side
    133,299x = 81,201,061,764
  5. Step 5: Solve for x
    x = 81,201,061,764/133,299
  6. Step 6: Final answer
    x = 609,164.82

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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.