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Finding the Third Proportional to 229,590 and 344,616

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Solution

The third proportional to 229,590 and 344,616 is: 517,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,590 : 344,616 = 344,616 : x
  2. Step 2: Convert to fraction form
    229,590/344,616 = 344,616/x
  3. Step 3: Cross multiply
    229,590x = 344,616 × 344,616
  4. Step 4: Simplify right side
    229,590x = 118,760,187,456
  5. Step 5: Solve for x
    x = 118,760,187,456/229,590
  6. Step 6: Final answer
    x = 517,270.73

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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.