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Finding the Third Proportional to 157,075 and 339,057

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Solution

The third proportional to 157,075 and 339,057 is: 731,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,075 : 339,057 = 339,057 : x
  2. Step 2: Convert to fraction form
    157,075/339,057 = 339,057/x
  3. Step 3: Cross multiply
    157,075x = 339,057 × 339,057
  4. Step 4: Simplify right side
    157,075x = 114,959,649,249
  5. Step 5: Solve for x
    x = 114,959,649,249/157,075
  6. Step 6: Final answer
    x = 731,877.44

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Why These Related Problems?

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