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Finding the Third Proportional to 171,888.75 and 258,157.13

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Solution

The third proportional to 171,888.75 and 258,157.13 is: 387,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,888.75 : 258,157.13 = 258,157.13 : x
  2. Step 2: Convert to fraction form
    171,888.75/258,157.13 = 258,157.13/x
  3. Step 3: Cross multiply
    171,888.75x = 258,157.13 × 258,157.13
  4. Step 4: Simplify right side
    171,888.75x = 66,645,101,188.27
  5. Step 5: Solve for x
    x = 66,645,101,188.27/171,888.75
  6. Step 6: Final answer
    x = 387,722.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.