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Finding the Third Proportional to 180,333.75 and 281,418.47

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Solution

The third proportional to 180,333.75 and 281,418.47 is: 439,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333.75 : 281,418.47 = 281,418.47 : x
  2. Step 2: Convert to fraction form
    180,333.75/281,418.47 = 281,418.47/x
  3. Step 3: Cross multiply
    180,333.75x = 281,418.47 × 281,418.47
  4. Step 4: Simplify right side
    180,333.75x = 79,196,354,553.59
  5. Step 5: Solve for x
    x = 79,196,354,553.59/180,333.75
  6. Step 6: Final answer
    x = 439,165.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.