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Finding the Third Proportional to 236,472 and 325,176

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Solution

The third proportional to 236,472 and 325,176 is: 447,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,472 : 325,176 = 325,176 : x
  2. Step 2: Convert to fraction form
    236,472/325,176 = 325,176/x
  3. Step 3: Cross multiply
    236,472x = 325,176 × 325,176
  4. Step 4: Simplify right side
    236,472x = 105,739,430,976
  5. Step 5: Solve for x
    x = 105,739,430,976/236,472
  6. Step 6: Final answer
    x = 447,154.13

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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.