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Finding the Third Proportional to 108,612 and 230,334

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Solution

The third proportional to 108,612 and 230,334 is: 488,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,612 : 230,334 = 230,334 : x
  2. Step 2: Convert to fraction form
    108,612/230,334 = 230,334/x
  3. Step 3: Cross multiply
    108,612x = 230,334 × 230,334
  4. Step 4: Simplify right side
    108,612x = 53,053,751,556
  5. Step 5: Solve for x
    x = 53,053,751,556/108,612
  6. Step 6: Final answer
    x = 488,470.44

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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.