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Finding the Third Proportional to 206,088.75 and 434,317.50

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Solution

The third proportional to 206,088.75 and 434,317.50 is: 915,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088.75 : 434,317.50 = 434,317.50 : x
  2. Step 2: Convert to fraction form
    206,088.75/434,317.50 = 434,317.50/x
  3. Step 3: Cross multiply
    206,088.75x = 434,317.50 × 434,317.50
  4. Step 4: Simplify right side
    206,088.75x = 188,631,690,806.25
  5. Step 5: Solve for x
    x = 188,631,690,806.25/206,088.75
  6. Step 6: Final answer
    x = 915,293.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.