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Finding the Third Proportional to 110,280 and 239,232

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Solution

The third proportional to 110,280 and 239,232 is: 518,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,280 : 239,232 = 239,232 : x
  2. Step 2: Convert to fraction form
    110,280/239,232 = 239,232/x
  3. Step 3: Cross multiply
    110,280x = 239,232 × 239,232
  4. Step 4: Simplify right side
    110,280x = 57,231,949,824
  5. Step 5: Solve for x
    x = 57,231,949,824/110,280
  6. Step 6: Final answer
    x = 518,969.44

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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.