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Finding the Third Proportional to 108,832 and 239,048

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Solution

The third proportional to 108,832 and 239,048 is: 525,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,832 : 239,048 = 239,048 : x
  2. Step 2: Convert to fraction form
    108,832/239,048 = 239,048/x
  3. Step 3: Cross multiply
    108,832x = 239,048 × 239,048
  4. Step 4: Simplify right side
    108,832x = 57,143,946,304
  5. Step 5: Solve for x
    x = 57,143,946,304/108,832
  6. Step 6: Final answer
    x = 525,065.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.