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Finding the Third Proportional to 133,002 and 295,524

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Solution

The third proportional to 133,002 and 295,524 is: 656,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,002 : 295,524 = 295,524 : x
  2. Step 2: Convert to fraction form
    133,002/295,524 = 295,524/x
  3. Step 3: Cross multiply
    133,002x = 295,524 × 295,524
  4. Step 4: Simplify right side
    133,002x = 87,334,434,576
  5. Step 5: Solve for x
    x = 87,334,434,576/133,002
  6. Step 6: Final answer
    x = 656,640.01

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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.