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Finding the Third Proportional to 212,326 and 325,859

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Solution

The third proportional to 212,326 and 325,859 is: 500,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,326 : 325,859 = 325,859 : x
  2. Step 2: Convert to fraction form
    212,326/325,859 = 325,859/x
  3. Step 3: Cross multiply
    212,326x = 325,859 × 325,859
  4. Step 4: Simplify right side
    212,326x = 106,184,087,881
  5. Step 5: Solve for x
    x = 106,184,087,881/212,326
  6. Step 6: Final answer
    x = 500,099.32

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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.