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Finding the Third Proportional to 206,295.50 and 310,808.50

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Solution

The third proportional to 206,295.50 and 310,808.50 is: 468,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,295.50 : 310,808.50 = 310,808.50 : x
  2. Step 2: Convert to fraction form
    206,295.50/310,808.50 = 310,808.50/x
  3. Step 3: Cross multiply
    206,295.50x = 310,808.50 × 310,808.50
  4. Step 4: Simplify right side
    206,295.50x = 96,601,923,672.25
  5. Step 5: Solve for x
    x = 96,601,923,672.25/206,295.50
  6. Step 6: Final answer
    x = 468,269.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.