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Finding the Third Proportional to 179,418 and 367,128

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Solution

The third proportional to 179,418 and 367,128 is: 751,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,418 : 367,128 = 367,128 : x
  2. Step 2: Convert to fraction form
    179,418/367,128 = 367,128/x
  3. Step 3: Cross multiply
    179,418x = 367,128 × 367,128
  4. Step 4: Simplify right side
    179,418x = 134,782,968,384
  5. Step 5: Solve for x
    x = 134,782,968,384/179,418
  6. Step 6: Final answer
    x = 751,223.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.