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Finding the Third Proportional to 236,441 and 325,131

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Solution

The third proportional to 236,441 and 325,131 is: 447,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,441 : 325,131 = 325,131 : x
  2. Step 2: Convert to fraction form
    236,441/325,131 = 325,131/x
  3. Step 3: Cross multiply
    236,441x = 325,131 × 325,131
  4. Step 4: Simplify right side
    236,441x = 105,710,167,161
  5. Step 5: Solve for x
    x = 105,710,167,161/236,441
  6. Step 6: Final answer
    x = 447,088.99

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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.