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Finding the Third Proportional to 228.25 and 325.50

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Solution

The third proportional to 228.25 and 325.50 is: 464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.25 : 325.50 = 325.50 : x
  2. Step 2: Convert to fraction form
    228.25/325.50 = 325.50/x
  3. Step 3: Cross multiply
    228.25x = 325.50 × 325.50
  4. Step 4: Simplify right side
    228.25x = 105,950.25
  5. Step 5: Solve for x
    x = 105,950.25/228.25
  6. Step 6: Final answer
    x = 464.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.