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Finding the Third Proportional to 154,894.50 and 338,949

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Solution

The third proportional to 154,894.50 and 338,949 is: 741,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,894.50 : 338,949 = 338,949 : x
  2. Step 2: Convert to fraction form
    154,894.50/338,949 = 338,949/x
  3. Step 3: Cross multiply
    154,894.50x = 338,949 × 338,949
  4. Step 4: Simplify right side
    154,894.50x = 114,886,424,601
  5. Step 5: Solve for x
    x = 114,886,424,601/154,894.50
  6. Step 6: Final answer
    x = 741,707.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.