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Finding the Third Proportional to 182,695.50 and 268,357.50

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Solution

The third proportional to 182,695.50 and 268,357.50 is: 394,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,695.50 : 268,357.50 = 268,357.50 : x
  2. Step 2: Convert to fraction form
    182,695.50/268,357.50 = 268,357.50/x
  3. Step 3: Cross multiply
    182,695.50x = 268,357.50 × 268,357.50
  4. Step 4: Simplify right side
    182,695.50x = 72,015,747,806.25
  5. Step 5: Solve for x
    x = 72,015,747,806.25/182,695.50
  6. Step 6: Final answer
    x = 394,184.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.