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Finding the Third Proportional to 231,635 and 348,009

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Solution

The third proportional to 231,635 and 348,009 is: 522,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,635 : 348,009 = 348,009 : x
  2. Step 2: Convert to fraction form
    231,635/348,009 = 348,009/x
  3. Step 3: Cross multiply
    231,635x = 348,009 × 348,009
  4. Step 4: Simplify right side
    231,635x = 121,110,264,081
  5. Step 5: Solve for x
    x = 121,110,264,081/231,635
  6. Step 6: Final answer
    x = 522,849.59

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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.