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Finding the Third Proportional to 236,468 and 325,170

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Solution

The third proportional to 236,468 and 325,170 is: 447,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,468 : 325,170 = 325,170 : x
  2. Step 2: Convert to fraction form
    236,468/325,170 = 325,170/x
  3. Step 3: Cross multiply
    236,468x = 325,170 × 325,170
  4. Step 4: Simplify right side
    236,468x = 105,735,528,900
  5. Step 5: Solve for x
    x = 105,735,528,900/236,468
  6. Step 6: Final answer
    x = 447,145.19

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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.