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Finding the Third Proportional to 159,224 and 226,364

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Solution

The third proportional to 159,224 and 226,364 is: 321,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,224 : 226,364 = 226,364 : x
  2. Step 2: Convert to fraction form
    159,224/226,364 = 226,364/x
  3. Step 3: Cross multiply
    159,224x = 226,364 × 226,364
  4. Step 4: Simplify right side
    159,224x = 51,240,660,496
  5. Step 5: Solve for x
    x = 51,240,660,496/159,224
  6. Step 6: Final answer
    x = 321,814.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.