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Finding the Third Proportional to 351.33 and 514.18

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Solution

The third proportional to 351.33 and 514.18 is: 752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.33 : 514.18 = 514.18 : x
  2. Step 2: Convert to fraction form
    351.33/514.18 = 514.18/x
  3. Step 3: Cross multiply
    351.33x = 514.18 × 514.18
  4. Step 4: Simplify right side
    351.33x = 264,381.00
  5. Step 5: Solve for x
    x = 264,381.00/351.33
  6. Step 6: Final answer
    x = 752.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.