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Finding the Third Proportional to 133,070 and 296,172

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Solution

The third proportional to 133,070 and 296,172 is: 659,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 296,172 = 296,172 : x
  2. Step 2: Convert to fraction form
    133,070/296,172 = 296,172/x
  3. Step 3: Cross multiply
    133,070x = 296,172 × 296,172
  4. Step 4: Simplify right side
    133,070x = 87,717,853,584
  5. Step 5: Solve for x
    x = 87,717,853,584/133,070
  6. Step 6: Final answer
    x = 659,185.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.