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Finding the Third Proportional to 173.75 and 383.50

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Solution

The third proportional to 173.75 and 383.50 is: 846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 383.50 = 383.50 : x
  2. Step 2: Convert to fraction form
    173.75/383.50 = 383.50/x
  3. Step 3: Cross multiply
    173.75x = 383.50 × 383.50
  4. Step 4: Simplify right side
    173.75x = 147,072.25
  5. Step 5: Solve for x
    x = 147,072.25/173.75
  6. Step 6: Final answer
    x = 846.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.