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Finding the Third Proportional to 222,675.75 and 344,017.13

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Solution

The third proportional to 222,675.75 and 344,017.13 is: 531,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,675.75 : 344,017.13 = 344,017.13 : x
  2. Step 2: Convert to fraction form
    222,675.75/344,017.13 = 344,017.13/x
  3. Step 3: Cross multiply
    222,675.75x = 344,017.13 × 344,017.13
  4. Step 4: Simplify right side
    222,675.75x = 118,347,782,293.27
  5. Step 5: Solve for x
    x = 118,347,782,293.27/222,675.75
  6. Step 6: Final answer
    x = 531,480.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.