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Finding the Third Proportional to 281.69 and 509.88

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Solution

The third proportional to 281.69 and 509.88 is: 922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.69 : 509.88 = 509.88 : x
  2. Step 2: Convert to fraction form
    281.69/509.88 = 509.88/x
  3. Step 3: Cross multiply
    281.69x = 509.88 × 509.88
  4. Step 4: Simplify right side
    281.69x = 259,972.52
  5. Step 5: Solve for x
    x = 259,972.52/281.69
  6. Step 6: Final answer
    x = 922.91

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.