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Finding the Third Proportional to 220,168 and 480,368

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Solution

The third proportional to 220,168 and 480,368 is: 1,048,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,168 : 480,368 = 480,368 : x
  2. Step 2: Convert to fraction form
    220,168/480,368 = 480,368/x
  3. Step 3: Cross multiply
    220,168x = 480,368 × 480,368
  4. Step 4: Simplify right side
    220,168x = 230,753,415,424
  5. Step 5: Solve for x
    x = 230,753,415,424/220,168
  6. Step 6: Final answer
    x = 1,048,078.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.