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Finding the Third Proportional to 117,280 and 188,837

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Solution

The third proportional to 117,280 and 188,837 is: 304,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 188,837 = 188,837 : x
  2. Step 2: Convert to fraction form
    117,280/188,837 = 188,837/x
  3. Step 3: Cross multiply
    117,280x = 188,837 × 188,837
  4. Step 4: Simplify right side
    117,280x = 35,659,412,569
  5. Step 5: Solve for x
    x = 35,659,412,569/117,280
  6. Step 6: Final answer
    x = 304,053.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.