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Finding the Third Proportional to 281,849.63 and 436,230.56

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Solution

The third proportional to 281,849.63 and 436,230.56 is: 675,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,849.63 : 436,230.56 = 436,230.56 : x
  2. Step 2: Convert to fraction form
    281,849.63/436,230.56 = 436,230.56/x
  3. Step 3: Cross multiply
    281,849.63x = 436,230.56 × 436,230.56
  4. Step 4: Simplify right side
    281,849.63x = 190,297,103,659.07
  5. Step 5: Solve for x
    x = 190,297,103,659.07/281,849.63
  6. Step 6: Final answer
    x = 675,172.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.