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Finding the Third Proportional to 205,738 and 320,636

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Solution

The third proportional to 205,738 and 320,636 is: 499,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,738 : 320,636 = 320,636 : x
  2. Step 2: Convert to fraction form
    205,738/320,636 = 320,636/x
  3. Step 3: Cross multiply
    205,738x = 320,636 × 320,636
  4. Step 4: Simplify right side
    205,738x = 102,807,444,496
  5. Step 5: Solve for x
    x = 102,807,444,496/205,738
  6. Step 6: Final answer
    x = 499,700.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.