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Finding the Third Proportional to 209,232 and 321,696

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Solution

The third proportional to 209,232 and 321,696 is: 494,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,232 : 321,696 = 321,696 : x
  2. Step 2: Convert to fraction form
    209,232/321,696 = 321,696/x
  3. Step 3: Cross multiply
    209,232x = 321,696 × 321,696
  4. Step 4: Simplify right side
    209,232x = 103,488,316,416
  5. Step 5: Solve for x
    x = 103,488,316,416/209,232
  6. Step 6: Final answer
    x = 494,610.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.