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Finding the Third Proportional to 167,928.19 and 251,788.50

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Solution

The third proportional to 167,928.19 and 251,788.50 is: 377,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,928.19 : 251,788.50 = 251,788.50 : x
  2. Step 2: Convert to fraction form
    167,928.19/251,788.50 = 251,788.50/x
  3. Step 3: Cross multiply
    167,928.19x = 251,788.50 × 251,788.50
  4. Step 4: Simplify right side
    167,928.19x = 63,397,448,732.25
  5. Step 5: Solve for x
    x = 63,397,448,732.25/167,928.19
  6. Step 6: Final answer
    x = 377,527.14

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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.