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Finding the Third Proportional to 151,186 and 331,016

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Solution

The third proportional to 151,186 and 331,016 is: 724,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,186 : 331,016 = 331,016 : x
  2. Step 2: Convert to fraction form
    151,186/331,016 = 331,016/x
  3. Step 3: Cross multiply
    151,186x = 331,016 × 331,016
  4. Step 4: Simplify right side
    151,186x = 109,571,592,256
  5. Step 5: Solve for x
    x = 109,571,592,256/151,186
  6. Step 6: Final answer
    x = 724,746.95

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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.