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Finding the Third Proportional to 108,308 and 225,283

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Solution

The third proportional to 108,308 and 225,283 is: 468,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308 : 225,283 = 225,283 : x
  2. Step 2: Convert to fraction form
    108,308/225,283 = 225,283/x
  3. Step 3: Cross multiply
    108,308x = 225,283 × 225,283
  4. Step 4: Simplify right side
    108,308x = 50,752,430,089
  5. Step 5: Solve for x
    x = 50,752,430,089/108,308
  6. Step 6: Final answer
    x = 468,593.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.