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Finding the Third Proportional to 171,064 and 375,176

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Solution

The third proportional to 171,064 and 375,176 is: 822,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,064 : 375,176 = 375,176 : x
  2. Step 2: Convert to fraction form
    171,064/375,176 = 375,176/x
  3. Step 3: Cross multiply
    171,064x = 375,176 × 375,176
  4. Step 4: Simplify right side
    171,064x = 140,757,030,976
  5. Step 5: Solve for x
    x = 140,757,030,976/171,064
  6. Step 6: Final answer
    x = 822,832.57

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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.