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Finding the Third Proportional to 179,412 and 367,116

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Solution

The third proportional to 179,412 and 367,116 is: 751,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,412 : 367,116 = 367,116 : x
  2. Step 2: Convert to fraction form
    179,412/367,116 = 367,116/x
  3. Step 3: Cross multiply
    179,412x = 367,116 × 367,116
  4. Step 4: Simplify right side
    179,412x = 134,774,157,456
  5. Step 5: Solve for x
    x = 134,774,157,456/179,412
  6. Step 6: Final answer
    x = 751,199.24

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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.