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Finding the Third Proportional to 277.50 and 540.38

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Solution

The third proportional to 277.50 and 540.38 is: 1,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 540.38 = 540.38 : x
  2. Step 2: Convert to fraction form
    277.50/540.38 = 540.38/x
  3. Step 3: Cross multiply
    277.50x = 540.38 × 540.38
  4. Step 4: Simplify right side
    277.50x = 292,005.14
  5. Step 5: Solve for x
    x = 292,005.14/277.50
  6. Step 6: Final answer
    x = 1,052.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.