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Finding the Third Proportional to 157,150 and 339,404

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Solution

The third proportional to 157,150 and 339,404 is: 733,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,150 : 339,404 = 339,404 : x
  2. Step 2: Convert to fraction form
    157,150/339,404 = 339,404/x
  3. Step 3: Cross multiply
    157,150x = 339,404 × 339,404
  4. Step 4: Simplify right side
    157,150x = 115,195,075,216
  5. Step 5: Solve for x
    x = 115,195,075,216/157,150
  6. Step 6: Final answer
    x = 733,026.25

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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.