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Finding the Third Proportional to 157,783 and 339,623

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Solution

The third proportional to 157,783 and 339,623 is: 731,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,783 : 339,623 = 339,623 : x
  2. Step 2: Convert to fraction form
    157,783/339,623 = 339,623/x
  3. Step 3: Cross multiply
    157,783x = 339,623 × 339,623
  4. Step 4: Simplify right side
    157,783x = 115,343,782,129
  5. Step 5: Solve for x
    x = 115,343,782,129/157,783
  6. Step 6: Final answer
    x = 731,027.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.