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Finding the Third Proportional to 177,208.31 and 383,941.13

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Solution

The third proportional to 177,208.31 and 383,941.13 is: 831,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,208.31 : 383,941.13 = 383,941.13 : x
  2. Step 2: Convert to fraction form
    177,208.31/383,941.13 = 383,941.13/x
  3. Step 3: Cross multiply
    177,208.31x = 383,941.13 × 383,941.13
  4. Step 4: Simplify right side
    177,208.31x = 147,410,787,466.27
  5. Step 5: Solve for x
    x = 147,410,787,466.27/177,208.31
  6. Step 6: Final answer
    x = 831,850.30

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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.