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Finding the Third Proportional to 194,178 and 301,631

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Solution

The third proportional to 194,178 and 301,631 is: 468,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,178 : 301,631 = 301,631 : x
  2. Step 2: Convert to fraction form
    194,178/301,631 = 301,631/x
  3. Step 3: Cross multiply
    194,178x = 301,631 × 301,631
  4. Step 4: Simplify right side
    194,178x = 90,981,260,161
  5. Step 5: Solve for x
    x = 90,981,260,161/194,178
  6. Step 6: Final answer
    x = 468,545.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.