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Finding the Third Proportional to 183,096 and 283,356

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Solution

The third proportional to 183,096 and 283,356 is: 438,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,096 : 283,356 = 283,356 : x
  2. Step 2: Convert to fraction form
    183,096/283,356 = 283,356/x
  3. Step 3: Cross multiply
    183,096x = 283,356 × 283,356
  4. Step 4: Simplify right side
    183,096x = 80,290,622,736
  5. Step 5: Solve for x
    x = 80,290,622,736/183,096
  6. Step 6: Final answer
    x = 438,516.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.