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Finding the Third Proportional to 232,611 and 335,361

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Solution

The third proportional to 232,611 and 335,361 is: 483,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,611 : 335,361 = 335,361 : x
  2. Step 2: Convert to fraction form
    232,611/335,361 = 335,361/x
  3. Step 3: Cross multiply
    232,611x = 335,361 × 335,361
  4. Step 4: Simplify right side
    232,611x = 112,467,000,321
  5. Step 5: Solve for x
    x = 112,467,000,321/232,611
  6. Step 6: Final answer
    x = 483,498.20

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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.