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Finding the Third Proportional to 273.75 and 598.25

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Solution

The third proportional to 273.75 and 598.25 is: 1,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 598.25 = 598.25 : x
  2. Step 2: Convert to fraction form
    273.75/598.25 = 598.25/x
  3. Step 3: Cross multiply
    273.75x = 598.25 × 598.25
  4. Step 4: Simplify right side
    273.75x = 357,903.06
  5. Step 5: Solve for x
    x = 357,903.06/273.75
  6. Step 6: Final answer
    x = 1,307.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.