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Finding the Third Proportional to 281.65 and 414.33

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Solution

The third proportional to 281.65 and 414.33 is: 609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 414.33 = 414.33 : x
  2. Step 2: Convert to fraction form
    281.65/414.33 = 414.33/x
  3. Step 3: Cross multiply
    281.65x = 414.33 × 414.33
  4. Step 4: Simplify right side
    281.65x = 171,672.65
  5. Step 5: Solve for x
    x = 171,672.65/281.65
  6. Step 6: Final answer
    x = 609.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.