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Finding the Third Proportional to 122,369 and 270,982

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Solution

The third proportional to 122,369 and 270,982 is: 600,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,369 : 270,982 = 270,982 : x
  2. Step 2: Convert to fraction form
    122,369/270,982 = 270,982/x
  3. Step 3: Cross multiply
    122,369x = 270,982 × 270,982
  4. Step 4: Simplify right side
    122,369x = 73,431,244,324
  5. Step 5: Solve for x
    x = 73,431,244,324/122,369
  6. Step 6: Final answer
    x = 600,080.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.