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Finding the Third Proportional to 177,048 and 383,629

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Solution

The third proportional to 177,048 and 383,629 is: 831,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048 : 383,629 = 383,629 : x
  2. Step 2: Convert to fraction form
    177,048/383,629 = 383,629/x
  3. Step 3: Cross multiply
    177,048x = 383,629 × 383,629
  4. Step 4: Simplify right side
    177,048x = 147,171,209,641
  5. Step 5: Solve for x
    x = 147,171,209,641/177,048
  6. Step 6: Final answer
    x = 831,250.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.