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Finding the Third Proportional to 179,054 and 395,368

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Solution

The third proportional to 179,054 and 395,368 is: 873,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,054 : 395,368 = 395,368 : x
  2. Step 2: Convert to fraction form
    179,054/395,368 = 395,368/x
  3. Step 3: Cross multiply
    179,054x = 395,368 × 395,368
  4. Step 4: Simplify right side
    179,054x = 156,315,855,424
  5. Step 5: Solve for x
    x = 156,315,855,424/179,054
  6. Step 6: Final answer
    x = 873,009.57

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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.