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Finding the Third Proportional to 183,717 and 263,272

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Solution

The third proportional to 183,717 and 263,272 is: 377,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,717 : 263,272 = 263,272 : x
  2. Step 2: Convert to fraction form
    183,717/263,272 = 263,272/x
  3. Step 3: Cross multiply
    183,717x = 263,272 × 263,272
  4. Step 4: Simplify right side
    183,717x = 69,312,145,984
  5. Step 5: Solve for x
    x = 69,312,145,984/183,717
  6. Step 6: Final answer
    x = 377,276.71

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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.