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Finding the Third Proportional to 234,026 and 353,131

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Solution

The third proportional to 234,026 and 353,131 is: 532,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,026 : 353,131 = 353,131 : x
  2. Step 2: Convert to fraction form
    234,026/353,131 = 353,131/x
  3. Step 3: Cross multiply
    234,026x = 353,131 × 353,131
  4. Step 4: Simplify right side
    234,026x = 124,701,503,161
  5. Step 5: Solve for x
    x = 124,701,503,161/234,026
  6. Step 6: Final answer
    x = 532,853.20

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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.