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Finding the Third Proportional to 216,529 and 311,904

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Solution

The third proportional to 216,529 and 311,904 is: 449,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,529 : 311,904 = 311,904 : x
  2. Step 2: Convert to fraction form
    216,529/311,904 = 311,904/x
  3. Step 3: Cross multiply
    216,529x = 311,904 × 311,904
  4. Step 4: Simplify right side
    216,529x = 97,284,105,216
  5. Step 5: Solve for x
    x = 97,284,105,216/216,529
  6. Step 6: Final answer
    x = 449,289.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.