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Finding the Third Proportional to 210,957.75 and 281,805.75

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Solution

The third proportional to 210,957.75 and 281,805.75 is: 376,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,957.75 : 281,805.75 = 281,805.75 : x
  2. Step 2: Convert to fraction form
    210,957.75/281,805.75 = 281,805.75/x
  3. Step 3: Cross multiply
    210,957.75x = 281,805.75 × 281,805.75
  4. Step 4: Simplify right side
    210,957.75x = 79,414,480,733.06
  5. Step 5: Solve for x
    x = 79,414,480,733.06/210,957.75
  6. Step 6: Final answer
    x = 376,447.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.