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Finding the Third Proportional to 183,052 and 268,638

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Solution

The third proportional to 183,052 and 268,638 is: 394,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,052 : 268,638 = 268,638 : x
  2. Step 2: Convert to fraction form
    183,052/268,638 = 268,638/x
  3. Step 3: Cross multiply
    183,052x = 268,638 × 268,638
  4. Step 4: Simplify right side
    183,052x = 72,166,375,044
  5. Step 5: Solve for x
    x = 72,166,375,044/183,052
  6. Step 6: Final answer
    x = 394,239.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.