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Finding the Third Proportional to 206,860.50 and 306,402.75

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Solution

The third proportional to 206,860.50 and 306,402.75 is: 453,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,860.50 : 306,402.75 = 306,402.75 : x
  2. Step 2: Convert to fraction form
    206,860.50/306,402.75 = 306,402.75/x
  3. Step 3: Cross multiply
    206,860.50x = 306,402.75 × 306,402.75
  4. Step 4: Simplify right side
    206,860.50x = 93,882,645,207.56
  5. Step 5: Solve for x
    x = 93,882,645,207.56/206,860.50
  6. Step 6: Final answer
    x = 453,845.20

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