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Finding the Third Proportional to 171,571.50 and 376,353

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Solution

The third proportional to 171,571.50 and 376,353 is: 825,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,571.50 : 376,353 = 376,353 : x
  2. Step 2: Convert to fraction form
    171,571.50/376,353 = 376,353/x
  3. Step 3: Cross multiply
    171,571.50x = 376,353 × 376,353
  4. Step 4: Simplify right side
    171,571.50x = 141,641,580,609
  5. Step 5: Solve for x
    x = 141,641,580,609/171,571.50
  6. Step 6: Final answer
    x = 825,554.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.