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Finding the Third Proportional to 226,362 and 339,570

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Solution

The third proportional to 226,362 and 339,570 is: 509,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,362 : 339,570 = 339,570 : x
  2. Step 2: Convert to fraction form
    226,362/339,570 = 339,570/x
  3. Step 3: Cross multiply
    226,362x = 339,570 × 339,570
  4. Step 4: Simplify right side
    226,362x = 115,307,784,900
  5. Step 5: Solve for x
    x = 115,307,784,900/226,362
  6. Step 6: Final answer
    x = 509,395.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.