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Finding the Third Proportional to 254.81 and 549.56

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Solution

The third proportional to 254.81 and 549.56 is: 1,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.81 : 549.56 = 549.56 : x
  2. Step 2: Convert to fraction form
    254.81/549.56 = 549.56/x
  3. Step 3: Cross multiply
    254.81x = 549.56 × 549.56
  4. Step 4: Simplify right side
    254.81x = 302,018.94
  5. Step 5: Solve for x
    x = 302,018.94/254.81
  6. Step 6: Final answer
    x = 1,185.26

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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.