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Finding the Third Proportional to 231.29 and 505.93

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Solution

The third proportional to 231.29 and 505.93 is: 1,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 505.93 = 505.93 : x
  2. Step 2: Convert to fraction form
    231.29/505.93 = 505.93/x
  3. Step 3: Cross multiply
    231.29x = 505.93 × 505.93
  4. Step 4: Simplify right side
    231.29x = 255,968.80
  5. Step 5: Solve for x
    x = 255,968.80/231.29
  6. Step 6: Final answer
    x = 1,106.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.