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Finding the Third Proportional to 248.70 and 341.40

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Solution

The third proportional to 248.70 and 341.40 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 341.40 = 341.40 : x
  2. Step 2: Convert to fraction form
    248.70/341.40 = 341.40/x
  3. Step 3: Cross multiply
    248.70x = 341.40 × 341.40
  4. Step 4: Simplify right side
    248.70x = 116,555.56
  5. Step 5: Solve for x
    x = 116,555.56/248.70
  6. Step 6: Final answer
    x = 468.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.