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Finding the Third Proportional to 351.14 and 514.02

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Solution

The third proportional to 351.14 and 514.02 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 514.02 = 514.02 : x
  2. Step 2: Convert to fraction form
    351.14/514.02 = 514.02/x
  3. Step 3: Cross multiply
    351.14x = 514.02 × 514.02
  4. Step 4: Simplify right side
    351.14x = 264,216.08
  5. Step 5: Solve for x
    x = 264,216.08/351.14
  6. Step 6: Final answer
    x = 752.45

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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.