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Finding the Third Proportional to 159,425 and 243,375

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Solution

The third proportional to 159,425 and 243,375 is: 371,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,425 : 243,375 = 243,375 : x
  2. Step 2: Convert to fraction form
    159,425/243,375 = 243,375/x
  3. Step 3: Cross multiply
    159,425x = 243,375 × 243,375
  4. Step 4: Simplify right side
    159,425x = 59,231,390,625
  5. Step 5: Solve for x
    x = 59,231,390,625/159,425
  6. Step 6: Final answer
    x = 371,531.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.