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Finding the Third Proportional to 206,482.50 and 457,183.69

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Solution

The third proportional to 206,482.50 and 457,183.69 is: 1,012,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.50 : 457,183.69 = 457,183.69 : x
  2. Step 2: Convert to fraction form
    206,482.50/457,183.69 = 457,183.69/x
  3. Step 3: Cross multiply
    206,482.50x = 457,183.69 × 457,183.69
  4. Step 4: Simplify right side
    206,482.50x = 209,016,924,116.10
  5. Step 5: Solve for x
    x = 209,016,924,116.10/206,482.50
  6. Step 6: Final answer
    x = 1,012,274.28

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.