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Finding the Third Proportional to 159,914 and 344,740

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Solution

The third proportional to 159,914 and 344,740 is: 743,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,914 : 344,740 = 344,740 : x
  2. Step 2: Convert to fraction form
    159,914/344,740 = 344,740/x
  3. Step 3: Cross multiply
    159,914x = 344,740 × 344,740
  4. Step 4: Simplify right side
    159,914x = 118,845,667,600
  5. Step 5: Solve for x
    x = 118,845,667,600/159,914
  6. Step 6: Final answer
    x = 743,184.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.