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Finding the Third Proportional to 202,676 and 311,984

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Solution

The third proportional to 202,676 and 311,984 is: 480,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,676 : 311,984 = 311,984 : x
  2. Step 2: Convert to fraction form
    202,676/311,984 = 311,984/x
  3. Step 3: Cross multiply
    202,676x = 311,984 × 311,984
  4. Step 4: Simplify right side
    202,676x = 97,334,016,256
  5. Step 5: Solve for x
    x = 97,334,016,256/202,676
  6. Step 6: Final answer
    x = 480,244.41

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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.