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Finding the Third Proportional to 163,906 and 250,235

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Solution

The third proportional to 163,906 and 250,235 is: 382,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,906 : 250,235 = 250,235 : x
  2. Step 2: Convert to fraction form
    163,906/250,235 = 250,235/x
  3. Step 3: Cross multiply
    163,906x = 250,235 × 250,235
  4. Step 4: Simplify right side
    163,906x = 62,617,555,225
  5. Step 5: Solve for x
    x = 62,617,555,225/163,906
  6. Step 6: Final answer
    x = 382,033.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.