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Finding the Third Proportional to 254,146 and 543,266

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Solution

The third proportional to 254,146 and 543,266 is: 1,161,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,146 : 543,266 = 543,266 : x
  2. Step 2: Convert to fraction form
    254,146/543,266 = 543,266/x
  3. Step 3: Cross multiply
    254,146x = 543,266 × 543,266
  4. Step 4: Simplify right side
    254,146x = 295,137,946,756
  5. Step 5: Solve for x
    x = 295,137,946,756/254,146
  6. Step 6: Final answer
    x = 1,161,292.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.