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Finding the Third Proportional to 307.27 and 468.14

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Solution

The third proportional to 307.27 and 468.14 is: 713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.27 : 468.14 = 468.14 : x
  2. Step 2: Convert to fraction form
    307.27/468.14 = 468.14/x
  3. Step 3: Cross multiply
    307.27x = 468.14 × 468.14
  4. Step 4: Simplify right side
    307.27x = 219,155.64
  5. Step 5: Solve for x
    x = 219,155.64/307.27
  6. Step 6: Final answer
    x = 713.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.