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Finding the Third Proportional to 206,650.50 and 438,100

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Solution

The third proportional to 206,650.50 and 438,100 is: 928,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,650.50 : 438,100 = 438,100 : x
  2. Step 2: Convert to fraction form
    206,650.50/438,100 = 438,100/x
  3. Step 3: Cross multiply
    206,650.50x = 438,100 × 438,100
  4. Step 4: Simplify right side
    206,650.50x = 191,931,610,000
  5. Step 5: Solve for x
    x = 191,931,610,000/206,650.50
  6. Step 6: Final answer
    x = 928,773.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.