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Finding the Third Proportional to 179.51 and 228.45

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Solution

The third proportional to 179.51 and 228.45 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.51 : 228.45 = 228.45 : x
  2. Step 2: Convert to fraction form
    179.51/228.45 = 228.45/x
  3. Step 3: Cross multiply
    179.51x = 228.45 × 228.45
  4. Step 4: Simplify right side
    179.51x = 52,187.26
  5. Step 5: Solve for x
    x = 52,187.26/179.51
  6. Step 6: Final answer
    x = 290.72

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.