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Finding the Third Proportional to 244,340 and 344,082

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Solution

The third proportional to 244,340 and 344,082 is: 484,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,340 : 344,082 = 344,082 : x
  2. Step 2: Convert to fraction form
    244,340/344,082 = 344,082/x
  3. Step 3: Cross multiply
    244,340x = 344,082 × 344,082
  4. Step 4: Simplify right side
    244,340x = 118,392,422,724
  5. Step 5: Solve for x
    x = 118,392,422,724/244,340
  6. Step 6: Final answer
    x = 484,539.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.