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Finding the Third Proportional to 212,859.75 and 320,187

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Solution

The third proportional to 212,859.75 and 320,187 is: 481,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,859.75 : 320,187 = 320,187 : x
  2. Step 2: Convert to fraction form
    212,859.75/320,187 = 320,187/x
  3. Step 3: Cross multiply
    212,859.75x = 320,187 × 320,187
  4. Step 4: Simplify right side
    212,859.75x = 102,519,714,969
  5. Step 5: Solve for x
    x = 102,519,714,969/212,859.75
  6. Step 6: Final answer
    x = 481,630.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.