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Finding the Third Proportional to 212,586 and 325,701

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Solution

The third proportional to 212,586 and 325,701 is: 499,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,586 : 325,701 = 325,701 : x
  2. Step 2: Convert to fraction form
    212,586/325,701 = 325,701/x
  3. Step 3: Cross multiply
    212,586x = 325,701 × 325,701
  4. Step 4: Simplify right side
    212,586x = 106,081,141,401
  5. Step 5: Solve for x
    x = 106,081,141,401/212,586
  6. Step 6: Final answer
    x = 499,003.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.