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Finding the Third Proportional to 180,333.88 and 281,418.75

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Solution

The third proportional to 180,333.88 and 281,418.75 is: 439,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333.88 : 281,418.75 = 281,418.75 : x
  2. Step 2: Convert to fraction form
    180,333.88/281,418.75 = 281,418.75/x
  3. Step 3: Cross multiply
    180,333.88x = 281,418.75 × 281,418.75
  4. Step 4: Simplify right side
    180,333.88x = 79,196,512,851.56
  5. Step 5: Solve for x
    x = 79,196,512,851.56/180,333.88
  6. Step 6: Final answer
    x = 439,166.03

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1.5x scale

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.