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Finding the Third Proportional to 146,135.81 and 303,755.06

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Solution

The third proportional to 146,135.81 and 303,755.06 is: 631,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135.81 : 303,755.06 = 303,755.06 : x
  2. Step 2: Convert to fraction form
    146,135.81/303,755.06 = 303,755.06/x
  3. Step 3: Cross multiply
    146,135.81x = 303,755.06 × 303,755.06
  4. Step 4: Simplify right side
    146,135.81x = 92,267,137,994.38
  5. Step 5: Solve for x
    x = 92,267,137,994.38/146,135.81
  6. Step 6: Final answer
    x = 631,379.38

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.