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Finding the Third Proportional to 132,971 and 288,096

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Solution

The third proportional to 132,971 and 288,096 is: 624,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,971 : 288,096 = 288,096 : x
  2. Step 2: Convert to fraction form
    132,971/288,096 = 288,096/x
  3. Step 3: Cross multiply
    132,971x = 288,096 × 288,096
  4. Step 4: Simplify right side
    132,971x = 82,999,305,216
  5. Step 5: Solve for x
    x = 82,999,305,216/132,971
  6. Step 6: Final answer
    x = 624,191.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.