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Finding the Third Proportional to 226,355 and 339,560

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Solution

The third proportional to 226,355 and 339,560 is: 509,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,355 : 339,560 = 339,560 : x
  2. Step 2: Convert to fraction form
    226,355/339,560 = 339,560/x
  3. Step 3: Cross multiply
    226,355x = 339,560 × 339,560
  4. Step 4: Simplify right side
    226,355x = 115,300,993,600
  5. Step 5: Solve for x
    x = 115,300,993,600/226,355
  6. Step 6: Final answer
    x = 509,381.25

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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.