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Finding the Third Proportional to 201,177 and 281,930.63

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Solution

The third proportional to 201,177 and 281,930.63 is: 395,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177 : 281,930.63 = 281,930.63 : x
  2. Step 2: Convert to fraction form
    201,177/281,930.63 = 281,930.63/x
  3. Step 3: Cross multiply
    201,177x = 281,930.63 × 281,930.63
  4. Step 4: Simplify right side
    201,177x = 79,484,877,312.89
  5. Step 5: Solve for x
    x = 79,484,877,312.89/201,177
  6. Step 6: Final answer
    x = 395,099.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.