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Finding the Third Proportional to 253.75 and 547.75

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Solution

The third proportional to 253.75 and 547.75 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 547.75 = 547.75 : x
  2. Step 2: Convert to fraction form
    253.75/547.75 = 547.75/x
  3. Step 3: Cross multiply
    253.75x = 547.75 × 547.75
  4. Step 4: Simplify right side
    253.75x = 300,030.06
  5. Step 5: Solve for x
    x = 300,030.06/253.75
  6. Step 6: Final answer
    x = 1,182.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.