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Finding the Third Proportional to 185,208 and 276,592

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Solution

The third proportional to 185,208 and 276,592 is: 413,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,208 : 276,592 = 276,592 : x
  2. Step 2: Convert to fraction form
    185,208/276,592 = 276,592/x
  3. Step 3: Cross multiply
    185,208x = 276,592 × 276,592
  4. Step 4: Simplify right side
    185,208x = 76,503,134,464
  5. Step 5: Solve for x
    x = 76,503,134,464/185,208
  6. Step 6: Final answer
    x = 413,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.