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Finding the Third Proportional to 119,898 and 262,638

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Solution

The third proportional to 119,898 and 262,638 is: 575,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,898 : 262,638 = 262,638 : x
  2. Step 2: Convert to fraction form
    119,898/262,638 = 262,638/x
  3. Step 3: Cross multiply
    119,898x = 262,638 × 262,638
  4. Step 4: Simplify right side
    119,898x = 68,978,719,044
  5. Step 5: Solve for x
    x = 68,978,719,044/119,898
  6. Step 6: Final answer
    x = 575,311.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.