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Finding the Third Proportional to 182,742.75 and 281,250.56

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Solution

The third proportional to 182,742.75 and 281,250.56 is: 432,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,742.75 : 281,250.56 = 281,250.56 : x
  2. Step 2: Convert to fraction form
    182,742.75/281,250.56 = 281,250.56/x
  3. Step 3: Cross multiply
    182,742.75x = 281,250.56 × 281,250.56
  4. Step 4: Simplify right side
    182,742.75x = 79,101,878,906.57
  5. Step 5: Solve for x
    x = 79,101,878,906.57/182,742.75
  6. Step 6: Final answer
    x = 432,859.19

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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.