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Finding the Third Proportional to 255.94 and 530.44

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Solution

The third proportional to 255.94 and 530.44 is: 1,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 530.44 = 530.44 : x
  2. Step 2: Convert to fraction form
    255.94/530.44 = 530.44/x
  3. Step 3: Cross multiply
    255.94x = 530.44 × 530.44
  4. Step 4: Simplify right side
    255.94x = 281,363.94
  5. Step 5: Solve for x
    x = 281,363.94/255.94
  6. Step 6: Final answer
    x = 1,099.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.