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Finding the Third Proportional to 157,926 and 345,375

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Solution

The third proportional to 157,926 and 345,375 is: 755,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,926 : 345,375 = 345,375 : x
  2. Step 2: Convert to fraction form
    157,926/345,375 = 345,375/x
  3. Step 3: Cross multiply
    157,926x = 345,375 × 345,375
  4. Step 4: Simplify right side
    157,926x = 119,283,890,625
  5. Step 5: Solve for x
    x = 119,283,890,625/157,926
  6. Step 6: Final answer
    x = 755,315.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.