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Finding the Third Proportional to 207,332 and 320,161

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Solution

The third proportional to 207,332 and 320,161 is: 494,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332 : 320,161 = 320,161 : x
  2. Step 2: Convert to fraction form
    207,332/320,161 = 320,161/x
  3. Step 3: Cross multiply
    207,332x = 320,161 × 320,161
  4. Step 4: Simplify right side
    207,332x = 102,503,065,921
  5. Step 5: Solve for x
    x = 102,503,065,921/207,332
  6. Step 6: Final answer
    x = 494,390.96

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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.