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Finding the Third Proportional to 236,571 and 340,057

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Solution

The third proportional to 236,571 and 340,057 is: 488,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,571 : 340,057 = 340,057 : x
  2. Step 2: Convert to fraction form
    236,571/340,057 = 340,057/x
  3. Step 3: Cross multiply
    236,571x = 340,057 × 340,057
  4. Step 4: Simplify right side
    236,571x = 115,638,763,249
  5. Step 5: Solve for x
    x = 115,638,763,249/236,571
  6. Step 6: Final answer
    x = 488,812.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.