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Finding the Third Proportional to 230,171 and 502,162

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Solution

The third proportional to 230,171 and 502,162 is: 1,095,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,171 : 502,162 = 502,162 : x
  2. Step 2: Convert to fraction form
    230,171/502,162 = 502,162/x
  3. Step 3: Cross multiply
    230,171x = 502,162 × 502,162
  4. Step 4: Simplify right side
    230,171x = 252,166,674,244
  5. Step 5: Solve for x
    x = 252,166,674,244/230,171
  6. Step 6: Final answer
    x = 1,095,562.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.