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Finding the Third Proportional to 171,684 and 229,230

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Solution

The third proportional to 171,684 and 229,230 is: 306,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,684 : 229,230 = 229,230 : x
  2. Step 2: Convert to fraction form
    171,684/229,230 = 229,230/x
  3. Step 3: Cross multiply
    171,684x = 229,230 × 229,230
  4. Step 4: Simplify right side
    171,684x = 52,546,392,900
  5. Step 5: Solve for x
    x = 52,546,392,900/171,684
  6. Step 6: Final answer
    x = 306,064.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.