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Finding the Third Proportional to 179,928 and 268,900

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Solution

The third proportional to 179,928 and 268,900 is: 401,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,928 : 268,900 = 268,900 : x
  2. Step 2: Convert to fraction form
    179,928/268,900 = 268,900/x
  3. Step 3: Cross multiply
    179,928x = 268,900 × 268,900
  4. Step 4: Simplify right side
    179,928x = 72,307,210,000
  5. Step 5: Solve for x
    x = 72,307,210,000/179,928
  6. Step 6: Final answer
    x = 401,867.47

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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.