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Finding the Third Proportional to 254,103 and 543,210

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Solution

The third proportional to 254,103 and 543,210 is: 1,161,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,103 : 543,210 = 543,210 : x
  2. Step 2: Convert to fraction form
    254,103/543,210 = 543,210/x
  3. Step 3: Cross multiply
    254,103x = 543,210 × 543,210
  4. Step 4: Simplify right side
    254,103x = 295,077,104,100
  5. Step 5: Solve for x
    x = 295,077,104,100/254,103
  6. Step 6: Final answer
    x = 1,161,249.98

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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.