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Finding the Third Proportional to 179,248 and 275,138

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Solution

The third proportional to 179,248 and 275,138 is: 422,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,248 : 275,138 = 275,138 : x
  2. Step 2: Convert to fraction form
    179,248/275,138 = 275,138/x
  3. Step 3: Cross multiply
    179,248x = 275,138 × 275,138
  4. Step 4: Simplify right side
    179,248x = 75,700,919,044
  5. Step 5: Solve for x
    x = 75,700,919,044/179,248
  6. Step 6: Final answer
    x = 422,325.04

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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.