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Finding the Third Proportional to 263,102 and 376,176

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Solution

The third proportional to 263,102 and 376,176 is: 537,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,102 : 376,176 = 376,176 : x
  2. Step 2: Convert to fraction form
    263,102/376,176 = 376,176/x
  3. Step 3: Cross multiply
    263,102x = 376,176 × 376,176
  4. Step 4: Simplify right side
    263,102x = 141,508,382,976
  5. Step 5: Solve for x
    x = 141,508,382,976/263,102
  6. Step 6: Final answer
    x = 537,846.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.