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Finding the Third Proportional to 206,848 and 328,064

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Solution

The third proportional to 206,848 and 328,064 is: 520,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848 : 328,064 = 328,064 : x
  2. Step 2: Convert to fraction form
    206,848/328,064 = 328,064/x
  3. Step 3: Cross multiply
    206,848x = 328,064 × 328,064
  4. Step 4: Simplify right side
    206,848x = 107,625,988,096
  5. Step 5: Solve for x
    x = 107,625,988,096/206,848
  6. Step 6: Final answer
    x = 520,314.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.