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Finding the Third Proportional to 158,769 and 339,373

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Solution

The third proportional to 158,769 and 339,373 is: 725,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,769 : 339,373 = 339,373 : x
  2. Step 2: Convert to fraction form
    158,769/339,373 = 339,373/x
  3. Step 3: Cross multiply
    158,769x = 339,373 × 339,373
  4. Step 4: Simplify right side
    158,769x = 115,174,033,129
  5. Step 5: Solve for x
    x = 115,174,033,129/158,769
  6. Step 6: Final answer
    x = 725,418.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.