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Finding the Third Proportional to 135,002 and 295,420

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Solution

The third proportional to 135,002 and 295,420 is: 646,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,002 : 295,420 = 295,420 : x
  2. Step 2: Convert to fraction form
    135,002/295,420 = 295,420/x
  3. Step 3: Cross multiply
    135,002x = 295,420 × 295,420
  4. Step 4: Simplify right side
    135,002x = 87,272,976,400
  5. Step 5: Solve for x
    x = 87,272,976,400/135,002
  6. Step 6: Final answer
    x = 646,456.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.