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Finding the Third Proportional to 222,505.88 and 344,319.75

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Solution

The third proportional to 222,505.88 and 344,319.75 is: 532,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,505.88 : 344,319.75 = 344,319.75 : x
  2. Step 2: Convert to fraction form
    222,505.88/344,319.75 = 344,319.75/x
  3. Step 3: Cross multiply
    222,505.88x = 344,319.75 × 344,319.75
  4. Step 4: Simplify right side
    222,505.88x = 118,556,090,240.06
  5. Step 5: Solve for x
    x = 118,556,090,240.06/222,505.88
  6. Step 6: Final answer
    x = 532,822.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.