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Finding the Third Proportional to 301.75 and 411.19

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Solution

The third proportional to 301.75 and 411.19 is: 560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 411.19 = 411.19 : x
  2. Step 2: Convert to fraction form
    301.75/411.19 = 411.19/x
  3. Step 3: Cross multiply
    301.75x = 411.19 × 411.19
  4. Step 4: Simplify right side
    301.75x = 169,075.16
  5. Step 5: Solve for x
    x = 169,075.16/301.75
  6. Step 6: Final answer
    x = 560.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.