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Finding the Third Proportional to 104,582 and 229,171

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Solution

The third proportional to 104,582 and 229,171 is: 502,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,582 : 229,171 = 229,171 : x
  2. Step 2: Convert to fraction form
    104,582/229,171 = 229,171/x
  3. Step 3: Cross multiply
    104,582x = 229,171 × 229,171
  4. Step 4: Simplify right side
    104,582x = 52,519,347,241
  5. Step 5: Solve for x
    x = 52,519,347,241/104,582
  6. Step 6: Final answer
    x = 502,183.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.