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Finding the Third Proportional to 122,235 and 270,714

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Solution

The third proportional to 122,235 and 270,714 is: 599,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,235 : 270,714 = 270,714 : x
  2. Step 2: Convert to fraction form
    122,235/270,714 = 270,714/x
  3. Step 3: Cross multiply
    122,235x = 270,714 × 270,714
  4. Step 4: Simplify right side
    122,235x = 73,286,069,796
  5. Step 5: Solve for x
    x = 73,286,069,796/122,235
  6. Step 6: Final answer
    x = 599,550.62

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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.