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Finding the Third Proportional to 201,160 and 397,232

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Solution

The third proportional to 201,160 and 397,232 is: 784,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,160 : 397,232 = 397,232 : x
  2. Step 2: Convert to fraction form
    201,160/397,232 = 397,232/x
  3. Step 3: Cross multiply
    201,160x = 397,232 × 397,232
  4. Step 4: Simplify right side
    201,160x = 157,793,261,824
  5. Step 5: Solve for x
    x = 157,793,261,824/201,160
  6. Step 6: Final answer
    x = 784,416.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.