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Finding the Third Proportional to 268,168 and 397,613

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Solution

The third proportional to 268,168 and 397,613 is: 589,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,168 : 397,613 = 397,613 : x
  2. Step 2: Convert to fraction form
    268,168/397,613 = 397,613/x
  3. Step 3: Cross multiply
    268,168x = 397,613 × 397,613
  4. Step 4: Simplify right side
    268,168x = 158,096,097,769
  5. Step 5: Solve for x
    x = 158,096,097,769/268,168
  6. Step 6: Final answer
    x = 589,541.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.