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Finding the Third Proportional to 213,138 and 331,158

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Solution

The third proportional to 213,138 and 331,158 is: 514,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138 : 331,158 = 331,158 : x
  2. Step 2: Convert to fraction form
    213,138/331,158 = 331,158/x
  3. Step 3: Cross multiply
    213,138x = 331,158 × 331,158
  4. Step 4: Simplify right side
    213,138x = 109,665,620,964
  5. Step 5: Solve for x
    x = 109,665,620,964/213,138
  6. Step 6: Final answer
    x = 514,528.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.