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Finding the Third Proportional to 143,977.50 and 309,035.25

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Solution

The third proportional to 143,977.50 and 309,035.25 is: 663,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,977.50 : 309,035.25 = 309,035.25 : x
  2. Step 2: Convert to fraction form
    143,977.50/309,035.25 = 309,035.25/x
  3. Step 3: Cross multiply
    143,977.50x = 309,035.25 × 309,035.25
  4. Step 4: Simplify right side
    143,977.50x = 95,502,785,742.56
  5. Step 5: Solve for x
    x = 95,502,785,742.56/143,977.50
  6. Step 6: Final answer
    x = 663,317.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.