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Finding the Third Proportional to 172,197 and 230,958

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Solution

The third proportional to 172,197 and 230,958 is: 309,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,197 : 230,958 = 230,958 : x
  2. Step 2: Convert to fraction form
    172,197/230,958 = 230,958/x
  3. Step 3: Cross multiply
    172,197x = 230,958 × 230,958
  4. Step 4: Simplify right side
    172,197x = 53,341,597,764
  5. Step 5: Solve for x
    x = 53,341,597,764/172,197
  6. Step 6: Final answer
    x = 309,770.77

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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.