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Finding the Third Proportional to 109,647 and 236,213

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Solution

The third proportional to 109,647 and 236,213 is: 508,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647 : 236,213 = 236,213 : x
  2. Step 2: Convert to fraction form
    109,647/236,213 = 236,213/x
  3. Step 3: Cross multiply
    109,647x = 236,213 × 236,213
  4. Step 4: Simplify right side
    109,647x = 55,796,581,369
  5. Step 5: Solve for x
    x = 55,796,581,369/109,647
  6. Step 6: Final answer
    x = 508,874.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.