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Finding the Third Proportional to 222,732 and 302,608

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Solution

The third proportional to 222,732 and 302,608 is: 411,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,732 : 302,608 = 302,608 : x
  2. Step 2: Convert to fraction form
    222,732/302,608 = 302,608/x
  3. Step 3: Cross multiply
    222,732x = 302,608 × 302,608
  4. Step 4: Simplify right side
    222,732x = 91,571,601,664
  5. Step 5: Solve for x
    x = 91,571,601,664/222,732
  6. Step 6: Final answer
    x = 411,129.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.