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Finding the Third Proportional to 182,729.25 and 281,228.63

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Solution

The third proportional to 182,729.25 and 281,228.63 is: 432,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,729.25 : 281,228.63 = 281,228.63 : x
  2. Step 2: Convert to fraction form
    182,729.25/281,228.63 = 281,228.63/x
  3. Step 3: Cross multiply
    182,729.25x = 281,228.63 × 281,228.63
  4. Step 4: Simplify right side
    182,729.25x = 79,089,539,519.39
  5. Step 5: Solve for x
    x = 79,089,539,519.39/182,729.25
  6. Step 6: Final answer
    x = 432,823.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.