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Finding the Third Proportional to 211,468 and 311,361

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Solution

The third proportional to 211,468 and 311,361 is: 458,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468 : 311,361 = 311,361 : x
  2. Step 2: Convert to fraction form
    211,468/311,361 = 311,361/x
  3. Step 3: Cross multiply
    211,468x = 311,361 × 311,361
  4. Step 4: Simplify right side
    211,468x = 96,945,672,321
  5. Step 5: Solve for x
    x = 96,945,672,321/211,468
  6. Step 6: Final answer
    x = 458,441.34

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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.