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Finding the Third Proportional to 180,334.31 and 281,419.31

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Solution

The third proportional to 180,334.31 and 281,419.31 is: 439,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,334.31 : 281,419.31 = 281,419.31 : x
  2. Step 2: Convert to fraction form
    180,334.31/281,419.31 = 281,419.31/x
  3. Step 3: Cross multiply
    180,334.31x = 281,419.31 × 281,419.31
  4. Step 4: Simplify right side
    180,334.31x = 79,196,829,447.97
  5. Step 5: Solve for x
    x = 79,196,829,447.97/180,334.31
  6. Step 6: Final answer
    x = 439,166.73

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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.