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Finding the Third Proportional to 206,848 and 325,024

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Solution

The third proportional to 206,848 and 325,024 is: 510,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848 : 325,024 = 325,024 : x
  2. Step 2: Convert to fraction form
    206,848/325,024 = 325,024/x
  3. Step 3: Cross multiply
    206,848x = 325,024 × 325,024
  4. Step 4: Simplify right side
    206,848x = 105,640,600,576
  5. Step 5: Solve for x
    x = 105,640,600,576/206,848
  6. Step 6: Final answer
    x = 510,716.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.