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Finding the Third Proportional to 157,257 and 339,546

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Solution

The third proportional to 157,257 and 339,546 is: 733,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,257 : 339,546 = 339,546 : x
  2. Step 2: Convert to fraction form
    157,257/339,546 = 339,546/x
  3. Step 3: Cross multiply
    157,257x = 339,546 × 339,546
  4. Step 4: Simplify right side
    157,257x = 115,291,486,116
  5. Step 5: Solve for x
    x = 115,291,486,116/157,257
  6. Step 6: Final answer
    x = 733,140.57

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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.