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Finding the Third Proportional to 182,751.75 and 281,261.25

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Solution

The third proportional to 182,751.75 and 281,261.25 is: 432,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,751.75 : 281,261.25 = 281,261.25 : x
  2. Step 2: Convert to fraction form
    182,751.75/281,261.25 = 281,261.25/x
  3. Step 3: Cross multiply
    182,751.75x = 281,261.25 × 281,261.25
  4. Step 4: Simplify right side
    182,751.75x = 79,107,890,751.56
  5. Step 5: Solve for x
    x = 79,107,890,751.56/182,751.75
  6. Step 6: Final answer
    x = 432,870.77

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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.