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Finding the Third Proportional to 133,016 and 295,558

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Solution

The third proportional to 133,016 and 295,558 is: 656,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,016 : 295,558 = 295,558 : x
  2. Step 2: Convert to fraction form
    133,016/295,558 = 295,558/x
  3. Step 3: Cross multiply
    133,016x = 295,558 × 295,558
  4. Step 4: Simplify right side
    133,016x = 87,354,531,364
  5. Step 5: Solve for x
    x = 87,354,531,364/133,016
  6. Step 6: Final answer
    x = 656,721.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.