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Finding the Third Proportional to 133,708 and 291,406

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Solution

The third proportional to 133,708 and 291,406 is: 635,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,708 : 291,406 = 291,406 : x
  2. Step 2: Convert to fraction form
    133,708/291,406 = 291,406/x
  3. Step 3: Cross multiply
    133,708x = 291,406 × 291,406
  4. Step 4: Simplify right side
    133,708x = 84,917,456,836
  5. Step 5: Solve for x
    x = 84,917,456,836/133,708
  6. Step 6: Final answer
    x = 635,096.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.