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Finding the Third Proportional to 104,884 and 230,504

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Solution

The third proportional to 104,884 and 230,504 is: 506,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,884 : 230,504 = 230,504 : x
  2. Step 2: Convert to fraction form
    104,884/230,504 = 230,504/x
  3. Step 3: Cross multiply
    104,884x = 230,504 × 230,504
  4. Step 4: Simplify right side
    104,884x = 53,132,094,016
  5. Step 5: Solve for x
    x = 53,132,094,016/104,884
  6. Step 6: Final answer
    x = 506,579.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.