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Finding the Third Proportional to 176,028.38 and 380,115.66

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Solution

The third proportional to 176,028.38 and 380,115.66 is: 820,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,028.38 : 380,115.66 = 380,115.66 : x
  2. Step 2: Convert to fraction form
    176,028.38/380,115.66 = 380,115.66/x
  3. Step 3: Cross multiply
    176,028.38x = 380,115.66 × 380,115.66
  4. Step 4: Simplify right side
    176,028.38x = 144,487,912,126.37
  5. Step 5: Solve for x
    x = 144,487,912,126.37/176,028.38
  6. Step 6: Final answer
    x = 820,821.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.