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Finding the Third Proportional to 222,504 and 344,556

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Solution

The third proportional to 222,504 and 344,556 is: 533,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,504 : 344,556 = 344,556 : x
  2. Step 2: Convert to fraction form
    222,504/344,556 = 344,556/x
  3. Step 3: Cross multiply
    222,504x = 344,556 × 344,556
  4. Step 4: Simplify right side
    222,504x = 118,718,837,136
  5. Step 5: Solve for x
    x = 118,718,837,136/222,504
  6. Step 6: Final answer
    x = 533,558.22

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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.