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Finding the Third Proportional to 260.16 and 549.41

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Solution

The third proportional to 260.16 and 549.41 is: 1,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 549.41 = 549.41 : x
  2. Step 2: Convert to fraction form
    260.16/549.41 = 549.41/x
  3. Step 3: Cross multiply
    260.16x = 549.41 × 549.41
  4. Step 4: Simplify right side
    260.16x = 301,847.23
  5. Step 5: Solve for x
    x = 301,847.23/260.16
  6. Step 6: Final answer
    x = 1,160.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.