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Finding the Third Proportional to 156,963 and 339,075

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Solution

The third proportional to 156,963 and 339,075 is: 732,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,963 : 339,075 = 339,075 : x
  2. Step 2: Convert to fraction form
    156,963/339,075 = 339,075/x
  3. Step 3: Cross multiply
    156,963x = 339,075 × 339,075
  4. Step 4: Simplify right side
    156,963x = 114,971,855,625
  5. Step 5: Solve for x
    x = 114,971,855,625/156,963
  6. Step 6: Final answer
    x = 732,477.43

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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.