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Finding the Third Proportional to 183,024 and 268,596

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Solution

The third proportional to 183,024 and 268,596 is: 394,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,024 : 268,596 = 268,596 : x
  2. Step 2: Convert to fraction form
    183,024/268,596 = 268,596/x
  3. Step 3: Cross multiply
    183,024x = 268,596 × 268,596
  4. Step 4: Simplify right side
    183,024x = 72,143,811,216
  5. Step 5: Solve for x
    x = 72,143,811,216/183,024
  6. Step 6: Final answer
    x = 394,176.78

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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.