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Finding the Third Proportional to 254.87 and 554.03

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Solution

The third proportional to 254.87 and 554.03 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 554.03 = 554.03 : x
  2. Step 2: Convert to fraction form
    254.87/554.03 = 554.03/x
  3. Step 3: Cross multiply
    254.87x = 554.03 × 554.03
  4. Step 4: Simplify right side
    254.87x = 306,946.30
  5. Step 5: Solve for x
    x = 306,946.30/254.87
  6. Step 6: Final answer
    x = 1,204.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.