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Finding the Third Proportional to 206,924.50 and 316,403.25

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Solution

The third proportional to 206,924.50 and 316,403.25 is: 483,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,924.50 : 316,403.25 = 316,403.25 : x
  2. Step 2: Convert to fraction form
    206,924.50/316,403.25 = 316,403.25/x
  3. Step 3: Cross multiply
    206,924.50x = 316,403.25 × 316,403.25
  4. Step 4: Simplify right side
    206,924.50x = 100,111,016,610.56
  5. Step 5: Solve for x
    x = 100,111,016,610.56/206,924.50
  6. Step 6: Final answer
    x = 483,804.56

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Why These Related Problems?

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