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Finding the Third Proportional to 171,076.50 and 376,497

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Solution

The third proportional to 171,076.50 and 376,497 is: 828,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076.50 : 376,497 = 376,497 : x
  2. Step 2: Convert to fraction form
    171,076.50/376,497 = 376,497/x
  3. Step 3: Cross multiply
    171,076.50x = 376,497 × 376,497
  4. Step 4: Simplify right side
    171,076.50x = 141,749,991,009
  5. Step 5: Solve for x
    x = 141,749,991,009/171,076.50
  6. Step 6: Final answer
    x = 828,576.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.