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Finding the Third Proportional to 178,383.94 and 273,226.50

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Solution

The third proportional to 178,383.94 and 273,226.50 is: 418,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,383.94 : 273,226.50 = 273,226.50 : x
  2. Step 2: Convert to fraction form
    178,383.94/273,226.50 = 273,226.50/x
  3. Step 3: Cross multiply
    178,383.94x = 273,226.50 × 273,226.50
  4. Step 4: Simplify right side
    178,383.94x = 74,652,720,302.25
  5. Step 5: Solve for x
    x = 74,652,720,302.25/178,383.94
  6. Step 6: Final answer
    x = 418,494.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.