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Finding the Third Proportional to 171,830 and 252,093

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Solution

The third proportional to 171,830 and 252,093 is: 369,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830 : 252,093 = 252,093 : x
  2. Step 2: Convert to fraction form
    171,830/252,093 = 252,093/x
  3. Step 3: Cross multiply
    171,830x = 252,093 × 252,093
  4. Step 4: Simplify right side
    171,830x = 63,550,880,649
  5. Step 5: Solve for x
    x = 63,550,880,649/171,830
  6. Step 6: Final answer
    x = 369,847.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.