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Finding the Third Proportional to 146,529 and 263,898

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Solution

The third proportional to 146,529 and 263,898 is: 475,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,529 : 263,898 = 263,898 : x
  2. Step 2: Convert to fraction form
    146,529/263,898 = 263,898/x
  3. Step 3: Cross multiply
    146,529x = 263,898 × 263,898
  4. Step 4: Simplify right side
    146,529x = 69,642,154,404
  5. Step 5: Solve for x
    x = 69,642,154,404/146,529
  6. Step 6: Final answer
    x = 475,278.99

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.