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Finding the Third Proportional to 193,466 and 273,999

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Solution

The third proportional to 193,466 and 273,999 is: 388,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,466 : 273,999 = 273,999 : x
  2. Step 2: Convert to fraction form
    193,466/273,999 = 273,999/x
  3. Step 3: Cross multiply
    193,466x = 273,999 × 273,999
  4. Step 4: Simplify right side
    193,466x = 75,075,452,001
  5. Step 5: Solve for x
    x = 75,075,452,001/193,466
  6. Step 6: Final answer
    x = 388,055.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.