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Finding the Third Proportional to 222,728 and 302,602

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Solution

The third proportional to 222,728 and 302,602 is: 411,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,728 : 302,602 = 302,602 : x
  2. Step 2: Convert to fraction form
    222,728/302,602 = 302,602/x
  3. Step 3: Cross multiply
    222,728x = 302,602 × 302,602
  4. Step 4: Simplify right side
    222,728x = 91,567,970,404
  5. Step 5: Solve for x
    x = 91,567,970,404/222,728
  6. Step 6: Final answer
    x = 411,120.16

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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.