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Finding the Third Proportional to 222,774 and 345,258

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Solution

The third proportional to 222,774 and 345,258 is: 535,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,774 : 345,258 = 345,258 : x
  2. Step 2: Convert to fraction form
    222,774/345,258 = 345,258/x
  3. Step 3: Cross multiply
    222,774x = 345,258 × 345,258
  4. Step 4: Simplify right side
    222,774x = 119,203,086,564
  5. Step 5: Solve for x
    x = 119,203,086,564/222,774
  6. Step 6: Final answer
    x = 535,085.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.