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Finding the Third Proportional to 159,079.50 and 343,066.50

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Solution

The third proportional to 159,079.50 and 343,066.50 is: 739,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,079.50 : 343,066.50 = 343,066.50 : x
  2. Step 2: Convert to fraction form
    159,079.50/343,066.50 = 343,066.50/x
  3. Step 3: Cross multiply
    159,079.50x = 343,066.50 × 343,066.50
  4. Step 4: Simplify right side
    159,079.50x = 117,694,623,422.25
  5. Step 5: Solve for x
    x = 117,694,623,422.25/159,079.50
  6. Step 6: Final answer
    x = 739,847.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.