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Finding the Third Proportional to 201,934 and 311,322

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Solution

The third proportional to 201,934 and 311,322 is: 479,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,934 : 311,322 = 311,322 : x
  2. Step 2: Convert to fraction form
    201,934/311,322 = 311,322/x
  3. Step 3: Cross multiply
    201,934x = 311,322 × 311,322
  4. Step 4: Simplify right side
    201,934x = 96,921,387,684
  5. Step 5: Solve for x
    x = 96,921,387,684/201,934
  6. Step 6: Final answer
    x = 479,965.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.