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Finding the Third Proportional to 145.41 and 228.23

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Solution

The third proportional to 145.41 and 228.23 is: 358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 228.23 = 228.23 : x
  2. Step 2: Convert to fraction form
    145.41/228.23 = 228.23/x
  3. Step 3: Cross multiply
    145.41x = 228.23 × 228.23
  4. Step 4: Simplify right side
    145.41x = 52,090.93
  5. Step 5: Solve for x
    x = 52,090.93/145.41
  6. Step 6: Final answer
    x = 358.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.