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Finding the Third Proportional to 197,168 and 423,824

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Solution

The third proportional to 197,168 and 423,824 is: 911,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,168 : 423,824 = 423,824 : x
  2. Step 2: Convert to fraction form
    197,168/423,824 = 423,824/x
  3. Step 3: Cross multiply
    197,168x = 423,824 × 423,824
  4. Step 4: Simplify right side
    197,168x = 179,626,782,976
  5. Step 5: Solve for x
    x = 179,626,782,976/197,168
  6. Step 6: Final answer
    x = 911,034.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.