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Finding the Third Proportional to 211,812 and 311,232

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Solution

The third proportional to 211,812 and 311,232 is: 457,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,812 : 311,232 = 311,232 : x
  2. Step 2: Convert to fraction form
    211,812/311,232 = 311,232/x
  3. Step 3: Cross multiply
    211,812x = 311,232 × 311,232
  4. Step 4: Simplify right side
    211,812x = 96,865,357,824
  5. Step 5: Solve for x
    x = 96,865,357,824/211,812
  6. Step 6: Final answer
    x = 457,317.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.