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Finding the Third Proportional to 236.50 and 370.25

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Solution

The third proportional to 236.50 and 370.25 is: 579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.50 : 370.25 = 370.25 : x
  2. Step 2: Convert to fraction form
    236.50/370.25 = 370.25/x
  3. Step 3: Cross multiply
    236.50x = 370.25 × 370.25
  4. Step 4: Simplify right side
    236.50x = 137,085.06
  5. Step 5: Solve for x
    x = 137,085.06/236.50
  6. Step 6: Final answer
    x = 579.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.