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Finding the Third Proportional to 222,995.53 and 339,721.59

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Solution

The third proportional to 222,995.53 and 339,721.59 is: 517,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,995.53 : 339,721.59 = 339,721.59 : x
  2. Step 2: Convert to fraction form
    222,995.53/339,721.59 = 339,721.59/x
  3. Step 3: Cross multiply
    222,995.53x = 339,721.59 × 339,721.59
  4. Step 4: Simplify right side
    222,995.53x = 115,410,761,260.04
  5. Step 5: Solve for x
    x = 115,410,761,260.04/222,995.53
  6. Step 6: Final answer
    x = 517,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.