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Finding the Third Proportional to 248,168 and 538,324

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Solution

The third proportional to 248,168 and 538,324 is: 1,167,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,168 : 538,324 = 538,324 : x
  2. Step 2: Convert to fraction form
    248,168/538,324 = 538,324/x
  3. Step 3: Cross multiply
    248,168x = 538,324 × 538,324
  4. Step 4: Simplify right side
    248,168x = 289,792,728,976
  5. Step 5: Solve for x
    x = 289,792,728,976/248,168
  6. Step 6: Final answer
    x = 1,167,728.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.