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Finding the Third Proportional to 100,270 and 222,954

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Solution

The third proportional to 100,270 and 222,954 is: 495,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270 : 222,954 = 222,954 : x
  2. Step 2: Convert to fraction form
    100,270/222,954 = 222,954/x
  3. Step 3: Cross multiply
    100,270x = 222,954 × 222,954
  4. Step 4: Simplify right side
    100,270x = 49,708,486,116
  5. Step 5: Solve for x
    x = 49,708,486,116/100,270
  6. Step 6: Final answer
    x = 495,746.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.