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Finding the Third Proportional to 108,768 and 230,496

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Solution

The third proportional to 108,768 and 230,496 is: 488,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,768 : 230,496 = 230,496 : x
  2. Step 2: Convert to fraction form
    108,768/230,496 = 230,496/x
  3. Step 3: Cross multiply
    108,768x = 230,496 × 230,496
  4. Step 4: Simplify right side
    108,768x = 53,128,406,016
  5. Step 5: Solve for x
    x = 53,128,406,016/108,768
  6. Step 6: Final answer
    x = 488,456.22

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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.