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Finding the Third Proportional to 244.07 and 357.56

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Solution

The third proportional to 244.07 and 357.56 is: 523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.07 : 357.56 = 357.56 : x
  2. Step 2: Convert to fraction form
    244.07/357.56 = 357.56/x
  3. Step 3: Cross multiply
    244.07x = 357.56 × 357.56
  4. Step 4: Simplify right side
    244.07x = 127,848.32
  5. Step 5: Solve for x
    x = 127,848.32/244.07
  6. Step 6: Final answer
    x = 523.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.