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Finding the Third Proportional to 260.63 and 375.56

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Solution

The third proportional to 260.63 and 375.56 is: 541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 375.56 = 375.56 : x
  2. Step 2: Convert to fraction form
    260.63/375.56 = 375.56/x
  3. Step 3: Cross multiply
    260.63x = 375.56 × 375.56
  4. Step 4: Simplify right side
    260.63x = 141,047.19
  5. Step 5: Solve for x
    x = 141,047.19/260.63
  6. Step 6: Final answer
    x = 541.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.