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Finding the Third Proportional to 150,096 and 317,080

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Solution

The third proportional to 150,096 and 317,080 is: 669,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096 : 317,080 = 317,080 : x
  2. Step 2: Convert to fraction form
    150,096/317,080 = 317,080/x
  3. Step 3: Cross multiply
    150,096x = 317,080 × 317,080
  4. Step 4: Simplify right side
    150,096x = 100,539,726,400
  5. Step 5: Solve for x
    x = 100,539,726,400/150,096
  6. Step 6: Final answer
    x = 669,836.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.