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Finding the Third Proportional to 241.10 and 510.68

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Solution

The third proportional to 241.10 and 510.68 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.10 : 510.68 = 510.68 : x
  2. Step 2: Convert to fraction form
    241.10/510.68 = 510.68/x
  3. Step 3: Cross multiply
    241.10x = 510.68 × 510.68
  4. Step 4: Simplify right side
    241.10x = 260,793.74
  5. Step 5: Solve for x
    x = 260,793.74/241.10
  6. Step 6: Final answer
    x = 1,081.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.