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Finding the Third Proportional to 133,694 and 294,170

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Solution

The third proportional to 133,694 and 294,170 is: 647,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,694 : 294,170 = 294,170 : x
  2. Step 2: Convert to fraction form
    133,694/294,170 = 294,170/x
  3. Step 3: Cross multiply
    133,694x = 294,170 × 294,170
  4. Step 4: Simplify right side
    133,694x = 86,535,988,900
  5. Step 5: Solve for x
    x = 86,535,988,900/133,694
  6. Step 6: Final answer
    x = 647,269.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.