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Finding the Third Proportional to 182,754 and 274,132

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Solution

The third proportional to 182,754 and 274,132 is: 411,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,754 : 274,132 = 274,132 : x
  2. Step 2: Convert to fraction form
    182,754/274,132 = 274,132/x
  3. Step 3: Cross multiply
    182,754x = 274,132 × 274,132
  4. Step 4: Simplify right side
    182,754x = 75,148,353,424
  5. Step 5: Solve for x
    x = 75,148,353,424/182,754
  6. Step 6: Final answer
    x = 411,199.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.