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Finding the Third Proportional to 238,006 and 343,905

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Solution

The third proportional to 238,006 and 343,905 is: 496,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,006 : 343,905 = 343,905 : x
  2. Step 2: Convert to fraction form
    238,006/343,905 = 343,905/x
  3. Step 3: Cross multiply
    238,006x = 343,905 × 343,905
  4. Step 4: Simplify right side
    238,006x = 118,270,649,025
  5. Step 5: Solve for x
    x = 118,270,649,025/238,006
  6. Step 6: Final answer
    x = 496,922.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.