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Finding the Third Proportional to 186 and 488.50

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Solution

The third proportional to 186 and 488.50 is: 1,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 488.50 = 488.50 : x
  2. Step 2: Convert to fraction form
    186/488.50 = 488.50/x
  3. Step 3: Cross multiply
    186x = 488.50 × 488.50
  4. Step 4: Simplify right side
    186x = 238,632.25
  5. Step 5: Solve for x
    x = 238,632.25/186
  6. Step 6: Final answer
    x = 1,282.97

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These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.