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Finding the Third Proportional to 178,609.50 and 381,773.25

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Solution

The third proportional to 178,609.50 and 381,773.25 is: 816,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,609.50 : 381,773.25 = 381,773.25 : x
  2. Step 2: Convert to fraction form
    178,609.50/381,773.25 = 381,773.25/x
  3. Step 3: Cross multiply
    178,609.50x = 381,773.25 × 381,773.25
  4. Step 4: Simplify right side
    178,609.50x = 145,750,814,415.56
  5. Step 5: Solve for x
    x = 145,750,814,415.56/178,609.50
  6. Step 6: Final answer
    x = 816,030.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.