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Finding the Third Proportional to 259.50 and 544.75

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Solution

The third proportional to 259.50 and 544.75 is: 1,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 544.75 = 544.75 : x
  2. Step 2: Convert to fraction form
    259.50/544.75 = 544.75/x
  3. Step 3: Cross multiply
    259.50x = 544.75 × 544.75
  4. Step 4: Simplify right side
    259.50x = 296,752.56
  5. Step 5: Solve for x
    x = 296,752.56/259.50
  6. Step 6: Final answer
    x = 1,143.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.