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Finding the Third Proportional to 132,021 and 311,346

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Solution

The third proportional to 132,021 and 311,346 is: 734,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021 : 311,346 = 311,346 : x
  2. Step 2: Convert to fraction form
    132,021/311,346 = 311,346/x
  3. Step 3: Cross multiply
    132,021x = 311,346 × 311,346
  4. Step 4: Simplify right side
    132,021x = 96,936,331,716
  5. Step 5: Solve for x
    x = 96,936,331,716/132,021
  6. Step 6: Final answer
    x = 734,249.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.