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Finding the Third Proportional to 183,948 and 394,140

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Solution

The third proportional to 183,948 and 394,140 is: 844,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,948 : 394,140 = 394,140 : x
  2. Step 2: Convert to fraction form
    183,948/394,140 = 394,140/x
  3. Step 3: Cross multiply
    183,948x = 394,140 × 394,140
  4. Step 4: Simplify right side
    183,948x = 155,346,339,600
  5. Step 5: Solve for x
    x = 155,346,339,600/183,948
  6. Step 6: Final answer
    x = 844,512.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.