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Finding the Third Proportional to 179,838.56 and 268,521.75

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Solution

The third proportional to 179,838.56 and 268,521.75 is: 400,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,838.56 : 268,521.75 = 268,521.75 : x
  2. Step 2: Convert to fraction form
    179,838.56/268,521.75 = 268,521.75/x
  3. Step 3: Cross multiply
    179,838.56x = 268,521.75 × 268,521.75
  4. Step 4: Simplify right side
    179,838.56x = 72,103,930,223.06
  5. Step 5: Solve for x
    x = 72,103,930,223.06/179,838.56
  6. Step 6: Final answer
    x = 400,936.98

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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.