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Finding the Third Proportional to 103,674 and 222,452

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Solution

The third proportional to 103,674 and 222,452 is: 477,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 222,452 = 222,452 : x
  2. Step 2: Convert to fraction form
    103,674/222,452 = 222,452/x
  3. Step 3: Cross multiply
    103,674x = 222,452 × 222,452
  4. Step 4: Simplify right side
    103,674x = 49,484,892,304
  5. Step 5: Solve for x
    x = 49,484,892,304/103,674
  6. Step 6: Final answer
    x = 477,312.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.