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Finding the Third Proportional to 75,230 and 178,235

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Solution

The third proportional to 75,230 and 178,235 is: 422,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,230 : 178,235 = 178,235 : x
  2. Step 2: Convert to fraction form
    75,230/178,235 = 178,235/x
  3. Step 3: Cross multiply
    75,230x = 178,235 × 178,235
  4. Step 4: Simplify right side
    75,230x = 31,767,715,225
  5. Step 5: Solve for x
    x = 31,767,715,225/75,230
  6. Step 6: Final answer
    x = 422,274.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.