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Finding the Third Proportional to 281,900.25 and 437,172.19

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Solution

The third proportional to 281,900.25 and 437,172.19 is: 677,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,900.25 : 437,172.19 = 437,172.19 : x
  2. Step 2: Convert to fraction form
    281,900.25/437,172.19 = 437,172.19/x
  3. Step 3: Cross multiply
    281,900.25x = 437,172.19 × 437,172.19
  4. Step 4: Simplify right side
    281,900.25x = 191,119,521,523.54
  5. Step 5: Solve for x
    x = 191,119,521,523.54/281,900.25
  6. Step 6: Final answer
    x = 677,968.61

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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.