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Finding the Third Proportional to 174,967 and 270,179

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Solution

The third proportional to 174,967 and 270,179 is: 417,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,967 : 270,179 = 270,179 : x
  2. Step 2: Convert to fraction form
    174,967/270,179 = 270,179/x
  3. Step 3: Cross multiply
    174,967x = 270,179 × 270,179
  4. Step 4: Simplify right side
    174,967x = 72,996,692,041
  5. Step 5: Solve for x
    x = 72,996,692,041/174,967
  6. Step 6: Final answer
    x = 417,202.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.