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Finding the Third Proportional to 129,559.50 and 281,250

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Solution

The third proportional to 129,559.50 and 281,250 is: 610,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,559.50 : 281,250 = 281,250 : x
  2. Step 2: Convert to fraction form
    129,559.50/281,250 = 281,250/x
  3. Step 3: Cross multiply
    129,559.50x = 281,250 × 281,250
  4. Step 4: Simplify right side
    129,559.50x = 79,101,562,500
  5. Step 5: Solve for x
    x = 79,101,562,500/129,559.50
  6. Step 6: Final answer
    x = 610,542.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.