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Finding the Third Proportional to 152.30 and 228.23

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Solution

The third proportional to 152.30 and 228.23 is: 342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 228.23 = 228.23 : x
  2. Step 2: Convert to fraction form
    152.30/228.23 = 228.23/x
  3. Step 3: Cross multiply
    152.30x = 228.23 × 228.23
  4. Step 4: Simplify right side
    152.30x = 52,090.93
  5. Step 5: Solve for x
    x = 52,090.93/152.30
  6. Step 6: Final answer
    x = 342.04

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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.