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Finding the Third Proportional to 183,994 and 274,047

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Solution

The third proportional to 183,994 and 274,047 is: 408,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,994 : 274,047 = 274,047 : x
  2. Step 2: Convert to fraction form
    183,994/274,047 = 274,047/x
  3. Step 3: Cross multiply
    183,994x = 274,047 × 274,047
  4. Step 4: Simplify right side
    183,994x = 75,101,758,209
  5. Step 5: Solve for x
    x = 75,101,758,209/183,994
  6. Step 6: Final answer
    x = 408,175.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.