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Finding the Third Proportional to 252.56 and 601.03

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Solution

The third proportional to 252.56 and 601.03 is: 1,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 601.03 = 601.03 : x
  2. Step 2: Convert to fraction form
    252.56/601.03 = 601.03/x
  3. Step 3: Cross multiply
    252.56x = 601.03 × 601.03
  4. Step 4: Simplify right side
    252.56x = 361,238.56
  5. Step 5: Solve for x
    x = 361,238.56/252.56
  6. Step 6: Final answer
    x = 1,430.29

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.