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Finding the Third Proportional to 146,517.75 and 300,802.50

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Solution

The third proportional to 146,517.75 and 300,802.50 is: 617,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,517.75 : 300,802.50 = 300,802.50 : x
  2. Step 2: Convert to fraction form
    146,517.75/300,802.50 = 300,802.50/x
  3. Step 3: Cross multiply
    146,517.75x = 300,802.50 × 300,802.50
  4. Step 4: Simplify right side
    146,517.75x = 90,482,144,006.25
  5. Step 5: Solve for x
    x = 90,482,144,006.25/146,517.75
  6. Step 6: Final answer
    x = 617,550.73

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.