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Finding the Third Proportional to 183,715 and 263,269

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Solution

The third proportional to 183,715 and 263,269 is: 377,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,715 : 263,269 = 263,269 : x
  2. Step 2: Convert to fraction form
    183,715/263,269 = 263,269/x
  3. Step 3: Cross multiply
    183,715x = 263,269 × 263,269
  4. Step 4: Simplify right side
    183,715x = 69,310,566,361
  5. Step 5: Solve for x
    x = 69,310,566,361/183,715
  6. Step 6: Final answer
    x = 377,272.22

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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.