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Finding the Third Proportional to 108,768 and 230,400

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Solution

The third proportional to 108,768 and 230,400 is: 488,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,768 : 230,400 = 230,400 : x
  2. Step 2: Convert to fraction form
    108,768/230,400 = 230,400/x
  3. Step 3: Cross multiply
    108,768x = 230,400 × 230,400
  4. Step 4: Simplify right side
    108,768x = 53,084,160,000
  5. Step 5: Solve for x
    x = 53,084,160,000/108,768
  6. Step 6: Final answer
    x = 488,049.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.