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Finding the Third Proportional to 180,228 and 263,494

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Solution

The third proportional to 180,228 and 263,494 is: 385,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,228 : 263,494 = 263,494 : x
  2. Step 2: Convert to fraction form
    180,228/263,494 = 263,494/x
  3. Step 3: Cross multiply
    180,228x = 263,494 × 263,494
  4. Step 4: Simplify right side
    180,228x = 69,429,088,036
  5. Step 5: Solve for x
    x = 69,429,088,036/180,228
  6. Step 6: Final answer
    x = 385,229.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.