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Finding the Third Proportional to 208.75 and 492.25

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Solution

The third proportional to 208.75 and 492.25 is: 1,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.75 : 492.25 = 492.25 : x
  2. Step 2: Convert to fraction form
    208.75/492.25 = 492.25/x
  3. Step 3: Cross multiply
    208.75x = 492.25 × 492.25
  4. Step 4: Simplify right side
    208.75x = 242,310.06
  5. Step 5: Solve for x
    x = 242,310.06/208.75
  6. Step 6: Final answer
    x = 1,160.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.