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Finding the Third Proportional to 132,022 and 311,349

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Solution

The third proportional to 132,022 and 311,349 is: 734,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022 : 311,349 = 311,349 : x
  2. Step 2: Convert to fraction form
    132,022/311,349 = 311,349/x
  3. Step 3: Cross multiply
    132,022x = 311,349 × 311,349
  4. Step 4: Simplify right side
    132,022x = 96,938,199,801
  5. Step 5: Solve for x
    x = 96,938,199,801/132,022
  6. Step 6: Final answer
    x = 734,257.93

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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.