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Finding the Third Proportional to 281,850.50 and 436,232

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Solution

The third proportional to 281,850.50 and 436,232 is: 675,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,850.50 : 436,232 = 436,232 : x
  2. Step 2: Convert to fraction form
    281,850.50/436,232 = 436,232/x
  3. Step 3: Cross multiply
    281,850.50x = 436,232 × 436,232
  4. Step 4: Simplify right side
    281,850.50x = 190,298,357,824
  5. Step 5: Solve for x
    x = 190,298,357,824/281,850.50
  6. Step 6: Final answer
    x = 675,174.81

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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.