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Finding the Third Proportional to 268,166 and 397,610

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Solution

The third proportional to 268,166 and 397,610 is: 589,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,166 : 397,610 = 397,610 : x
  2. Step 2: Convert to fraction form
    268,166/397,610 = 397,610/x
  3. Step 3: Cross multiply
    268,166x = 397,610 × 397,610
  4. Step 4: Simplify right side
    268,166x = 158,093,712,100
  5. Step 5: Solve for x
    x = 158,093,712,100/268,166
  6. Step 6: Final answer
    x = 589,536.75

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Why These Related Problems?

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