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Finding the Third Proportional to 134,184 and 274,194

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Solution

The third proportional to 134,184 and 274,194 is: 560,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,184 : 274,194 = 274,194 : x
  2. Step 2: Convert to fraction form
    134,184/274,194 = 274,194/x
  3. Step 3: Cross multiply
    134,184x = 274,194 × 274,194
  4. Step 4: Simplify right side
    134,184x = 75,182,349,636
  5. Step 5: Solve for x
    x = 75,182,349,636/134,184
  6. Step 6: Final answer
    x = 560,292.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.