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Finding the Third Proportional to 158,760 and 339,345

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Solution

The third proportional to 158,760 and 339,345 is: 725,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,760 : 339,345 = 339,345 : x
  2. Step 2: Convert to fraction form
    158,760/339,345 = 339,345/x
  3. Step 3: Cross multiply
    158,760x = 339,345 × 339,345
  4. Step 4: Simplify right side
    158,760x = 115,155,029,025
  5. Step 5: Solve for x
    x = 115,155,029,025/158,760
  6. Step 6: Final answer
    x = 725,340.32

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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.