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Finding the Third Proportional to 250.06 and 370.38

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Solution

The third proportional to 250.06 and 370.38 is: 548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.06 : 370.38 = 370.38 : x
  2. Step 2: Convert to fraction form
    250.06/370.38 = 370.38/x
  3. Step 3: Cross multiply
    250.06x = 370.38 × 370.38
  4. Step 4: Simplify right side
    250.06x = 137,177.64
  5. Step 5: Solve for x
    x = 137,177.64/250.06
  6. Step 6: Final answer
    x = 548.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.