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Finding the Third Proportional to 171,157.50 and 250,398

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Solution

The third proportional to 171,157.50 and 250,398 is: 366,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,157.50 : 250,398 = 250,398 : x
  2. Step 2: Convert to fraction form
    171,157.50/250,398 = 250,398/x
  3. Step 3: Cross multiply
    171,157.50x = 250,398 × 250,398
  4. Step 4: Simplify right side
    171,157.50x = 62,699,158,404
  5. Step 5: Solve for x
    x = 62,699,158,404/171,157.50
  6. Step 6: Final answer
    x = 366,324.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.