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Finding the Third Proportional to 157,077 and 339,061

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Solution

The third proportional to 157,077 and 339,061 is: 731,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077 : 339,061 = 339,061 : x
  2. Step 2: Convert to fraction form
    157,077/339,061 = 339,061/x
  3. Step 3: Cross multiply
    157,077x = 339,061 × 339,061
  4. Step 4: Simplify right side
    157,077x = 114,962,361,721
  5. Step 5: Solve for x
    x = 114,962,361,721/157,077
  6. Step 6: Final answer
    x = 731,885.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.