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Finding the Third Proportional to 241.56 and 499.89

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Solution

The third proportional to 241.56 and 499.89 is: 1,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.56 : 499.89 = 499.89 : x
  2. Step 2: Convert to fraction form
    241.56/499.89 = 499.89/x
  3. Step 3: Cross multiply
    241.56x = 499.89 × 499.89
  4. Step 4: Simplify right side
    241.56x = 249,886.73
  5. Step 5: Solve for x
    x = 249,886.73/241.56
  6. Step 6: Final answer
    x = 1,034.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.