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Finding the Third Proportional to 183,634 and 283,551

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Solution

The third proportional to 183,634 and 283,551 is: 437,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,634 : 283,551 = 283,551 : x
  2. Step 2: Convert to fraction form
    183,634/283,551 = 283,551/x
  3. Step 3: Cross multiply
    183,634x = 283,551 × 283,551
  4. Step 4: Simplify right side
    183,634x = 80,401,169,601
  5. Step 5: Solve for x
    x = 80,401,169,601/183,634
  6. Step 6: Final answer
    x = 437,833.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.