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Finding the Third Proportional to 174,223 and 245,349

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Solution

The third proportional to 174,223 and 245,349 is: 345,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,223 : 245,349 = 245,349 : x
  2. Step 2: Convert to fraction form
    174,223/245,349 = 245,349/x
  3. Step 3: Cross multiply
    174,223x = 245,349 × 245,349
  4. Step 4: Simplify right side
    174,223x = 60,196,131,801
  5. Step 5: Solve for x
    x = 60,196,131,801/174,223
  6. Step 6: Final answer
    x = 345,511.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.