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Finding the Third Proportional to 151,184 and 331,096

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Solution

The third proportional to 151,184 and 331,096 is: 725,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,184 : 331,096 = 331,096 : x
  2. Step 2: Convert to fraction form
    151,184/331,096 = 331,096/x
  3. Step 3: Cross multiply
    151,184x = 331,096 × 331,096
  4. Step 4: Simplify right side
    151,184x = 109,624,561,216
  5. Step 5: Solve for x
    x = 109,624,561,216/151,184
  6. Step 6: Final answer
    x = 725,106.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.