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Finding the Third Proportional to 203.75 and 483.50

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Solution

The third proportional to 203.75 and 483.50 is: 1,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.75 : 483.50 = 483.50 : x
  2. Step 2: Convert to fraction form
    203.75/483.50 = 483.50/x
  3. Step 3: Cross multiply
    203.75x = 483.50 × 483.50
  4. Step 4: Simplify right side
    203.75x = 233,772.25
  5. Step 5: Solve for x
    x = 233,772.25/203.75
  6. Step 6: Final answer
    x = 1,147.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.