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Finding the Third Proportional to 263.50 and 568.50

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Solution

The third proportional to 263.50 and 568.50 is: 1,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.50 : 568.50 = 568.50 : x
  2. Step 2: Convert to fraction form
    263.50/568.50 = 568.50/x
  3. Step 3: Cross multiply
    263.50x = 568.50 × 568.50
  4. Step 4: Simplify right side
    263.50x = 323,192.25
  5. Step 5: Solve for x
    x = 323,192.25/263.50
  6. Step 6: Final answer
    x = 1,226.54

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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.