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Finding the Third Proportional to 108,636 and 230,313

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Solution

The third proportional to 108,636 and 230,313 is: 488,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,636 : 230,313 = 230,313 : x
  2. Step 2: Convert to fraction form
    108,636/230,313 = 230,313/x
  3. Step 3: Cross multiply
    108,636x = 230,313 × 230,313
  4. Step 4: Simplify right side
    108,636x = 53,044,077,969
  5. Step 5: Solve for x
    x = 53,044,077,969/108,636
  6. Step 6: Final answer
    x = 488,273.48

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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.