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Finding the Third Proportional to 169,622 and 262,403

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Solution

The third proportional to 169,622 and 262,403 is: 405,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,622 : 262,403 = 262,403 : x
  2. Step 2: Convert to fraction form
    169,622/262,403 = 262,403/x
  3. Step 3: Cross multiply
    169,622x = 262,403 × 262,403
  4. Step 4: Simplify right side
    169,622x = 68,855,334,409
  5. Step 5: Solve for x
    x = 68,855,334,409/169,622
  6. Step 6: Final answer
    x = 405,933.99

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