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Finding the Third Proportional to 145.69 and 328.22

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Solution

The third proportional to 145.69 and 328.22 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 328.22 = 328.22 : x
  2. Step 2: Convert to fraction form
    145.69/328.22 = 328.22/x
  3. Step 3: Cross multiply
    145.69x = 328.22 × 328.22
  4. Step 4: Simplify right side
    145.69x = 107,727.55
  5. Step 5: Solve for x
    x = 107,727.55/145.69
  6. Step 6: Final answer
    x = 739.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.