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Finding the Third Proportional to 148.36 and 317.67

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Solution

The third proportional to 148.36 and 317.67 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 317.67 = 317.67 : x
  2. Step 2: Convert to fraction form
    148.36/317.67 = 317.67/x
  3. Step 3: Cross multiply
    148.36x = 317.67 × 317.67
  4. Step 4: Simplify right side
    148.36x = 100,915.42
  5. Step 5: Solve for x
    x = 100,915.42/148.36
  6. Step 6: Final answer
    x = 680.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.