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Finding the Third Proportional to 154,146 and 230,589

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Solution

The third proportional to 154,146 and 230,589 is: 344,941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,146 : 230,589 = 230,589 : x
  2. Step 2: Convert to fraction form
    154,146/230,589 = 230,589/x
  3. Step 3: Cross multiply
    154,146x = 230,589 × 230,589
  4. Step 4: Simplify right side
    154,146x = 53,171,286,921
  5. Step 5: Solve for x
    x = 53,171,286,921/154,146
  6. Step 6: Final answer
    x = 344,941.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.