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Finding the Third Proportional to 151,741 and 331,508

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Solution

The third proportional to 151,741 and 331,508 is: 724,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,741 : 331,508 = 331,508 : x
  2. Step 2: Convert to fraction form
    151,741/331,508 = 331,508/x
  3. Step 3: Cross multiply
    151,741x = 331,508 × 331,508
  4. Step 4: Simplify right side
    151,741x = 109,897,554,064
  5. Step 5: Solve for x
    x = 109,897,554,064/151,741
  6. Step 6: Final answer
    x = 724,244.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.