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Finding the Third Proportional to 153,858 and 225,795

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Solution

The third proportional to 153,858 and 225,795 is: 331,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858 : 225,795 = 225,795 : x
  2. Step 2: Convert to fraction form
    153,858/225,795 = 225,795/x
  3. Step 3: Cross multiply
    153,858x = 225,795 × 225,795
  4. Step 4: Simplify right side
    153,858x = 50,983,382,025
  5. Step 5: Solve for x
    x = 50,983,382,025/153,858
  6. Step 6: Final answer
    x = 331,366.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.