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Finding the Third Proportional to 133,059 and 295,643

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Solution

The third proportional to 133,059 and 295,643 is: 656,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059 : 295,643 = 295,643 : x
  2. Step 2: Convert to fraction form
    133,059/295,643 = 295,643/x
  3. Step 3: Cross multiply
    133,059x = 295,643 × 295,643
  4. Step 4: Simplify right side
    133,059x = 87,404,783,449
  5. Step 5: Solve for x
    x = 87,404,783,449/133,059
  6. Step 6: Final answer
    x = 656,887.42

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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.