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Finding the Third Proportional to 344.81 and 515.91

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Solution

The third proportional to 344.81 and 515.91 is: 771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 515.91 = 515.91 : x
  2. Step 2: Convert to fraction form
    344.81/515.91 = 515.91/x
  3. Step 3: Cross multiply
    344.81x = 515.91 × 515.91
  4. Step 4: Simplify right side
    344.81x = 266,159.26
  5. Step 5: Solve for x
    x = 266,159.26/344.81
  6. Step 6: Final answer
    x = 771.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.