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Finding the Third Proportional to 206,896.78 and 316,359.42

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Solution

The third proportional to 206,896.78 and 316,359.42 is: 483,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.78 : 316,359.42 = 316,359.42 : x
  2. Step 2: Convert to fraction form
    206,896.78/316,359.42 = 316,359.42/x
  3. Step 3: Cross multiply
    206,896.78x = 316,359.42 × 316,359.42
  4. Step 4: Simplify right side
    206,896.78x = 100,083,283,809.08
  5. Step 5: Solve for x
    x = 100,083,283,809.08/206,896.78
  6. Step 6: Final answer
    x = 483,735.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.