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Finding the Third Proportional to 230,794 and 349,264

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Solution

The third proportional to 230,794 and 349,264 is: 528,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,794 : 349,264 = 349,264 : x
  2. Step 2: Convert to fraction form
    230,794/349,264 = 349,264/x
  3. Step 3: Cross multiply
    230,794x = 349,264 × 349,264
  4. Step 4: Simplify right side
    230,794x = 121,985,341,696
  5. Step 5: Solve for x
    x = 121,985,341,696/230,794
  6. Step 6: Final answer
    x = 528,546.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.