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Finding the Third Proportional to 152.19 and 228.28

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Solution

The third proportional to 152.19 and 228.28 is: 342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 228.28 = 228.28 : x
  2. Step 2: Convert to fraction form
    152.19/228.28 = 228.28/x
  3. Step 3: Cross multiply
    152.19x = 228.28 × 228.28
  4. Step 4: Simplify right side
    152.19x = 52,112.33
  5. Step 5: Solve for x
    x = 52,112.33/152.19
  6. Step 6: Final answer
    x = 342.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.