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Finding the Third Proportional to 154,774 and 242,601

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Solution

The third proportional to 154,774 and 242,601 is: 380,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,774 : 242,601 = 242,601 : x
  2. Step 2: Convert to fraction form
    154,774/242,601 = 242,601/x
  3. Step 3: Cross multiply
    154,774x = 242,601 × 242,601
  4. Step 4: Simplify right side
    154,774x = 58,855,245,201
  5. Step 5: Solve for x
    x = 58,855,245,201/154,774
  6. Step 6: Final answer
    x = 380,265.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.