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Finding the Third Proportional to 173,611.69 and 380,460.38

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Solution

The third proportional to 173,611.69 and 380,460.38 is: 833,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,611.69 : 380,460.38 = 380,460.38 : x
  2. Step 2: Convert to fraction form
    173,611.69/380,460.38 = 380,460.38/x
  3. Step 3: Cross multiply
    173,611.69x = 380,460.38 × 380,460.38
  4. Step 4: Simplify right side
    173,611.69x = 144,750,096,945.14
  5. Step 5: Solve for x
    x = 144,750,096,945.14/173,611.69
  6. Step 6: Final answer
    x = 833,757.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.