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Finding the Third Proportional to 206,421.75 and 305,799.75

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Solution

The third proportional to 206,421.75 and 305,799.75 is: 453,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.75 : 305,799.75 = 305,799.75 : x
  2. Step 2: Convert to fraction form
    206,421.75/305,799.75 = 305,799.75/x
  3. Step 3: Cross multiply
    206,421.75x = 305,799.75 × 305,799.75
  4. Step 4: Simplify right side
    206,421.75x = 93,513,487,100.06
  5. Step 5: Solve for x
    x = 93,513,487,100.06/206,421.75
  6. Step 6: Final answer
    x = 453,021.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.