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Finding the Third Proportional to 236,470 and 325,173

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Solution

The third proportional to 236,470 and 325,173 is: 447,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470 : 325,173 = 325,173 : x
  2. Step 2: Convert to fraction form
    236,470/325,173 = 325,173/x
  3. Step 3: Cross multiply
    236,470x = 325,173 × 325,173
  4. Step 4: Simplify right side
    236,470x = 105,737,479,929
  5. Step 5: Solve for x
    x = 105,737,479,929/236,470
  6. Step 6: Final answer
    x = 447,149.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.