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Finding the Third Proportional to 155,771 and 337,786

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Solution

The third proportional to 155,771 and 337,786 is: 732,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,771 : 337,786 = 337,786 : x
  2. Step 2: Convert to fraction form
    155,771/337,786 = 337,786/x
  3. Step 3: Cross multiply
    155,771x = 337,786 × 337,786
  4. Step 4: Simplify right side
    155,771x = 114,099,381,796
  5. Step 5: Solve for x
    x = 114,099,381,796/155,771
  6. Step 6: Final answer
    x = 732,481.54

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