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Finding the Third Proportional to 149.34 and 306.28

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Solution

The third proportional to 149.34 and 306.28 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.34 : 306.28 = 306.28 : x
  2. Step 2: Convert to fraction form
    149.34/306.28 = 306.28/x
  3. Step 3: Cross multiply
    149.34x = 306.28 × 306.28
  4. Step 4: Simplify right side
    149.34x = 93,808.20
  5. Step 5: Solve for x
    x = 93,808.20/149.34
  6. Step 6: Final answer
    x = 628.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.