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Finding the Third Proportional to 179,550 and 378,036

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Solution

The third proportional to 179,550 and 378,036 is: 795,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,550 : 378,036 = 378,036 : x
  2. Step 2: Convert to fraction form
    179,550/378,036 = 378,036/x
  3. Step 3: Cross multiply
    179,550x = 378,036 × 378,036
  4. Step 4: Simplify right side
    179,550x = 142,911,217,296
  5. Step 5: Solve for x
    x = 142,911,217,296/179,550
  6. Step 6: Final answer
    x = 795,941.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.