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Finding the Third Proportional to 154,771 and 233,399

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Solution

The third proportional to 154,771 and 233,399 is: 351,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,771 : 233,399 = 233,399 : x
  2. Step 2: Convert to fraction form
    154,771/233,399 = 233,399/x
  3. Step 3: Cross multiply
    154,771x = 233,399 × 233,399
  4. Step 4: Simplify right side
    154,771x = 54,475,093,201
  5. Step 5: Solve for x
    x = 54,475,093,201/154,771
  6. Step 6: Final answer
    x = 351,972.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.