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Finding the Third Proportional to 143,364.38 and 311,649.75

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Solution

The third proportional to 143,364.38 and 311,649.75 is: 677,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,364.38 : 311,649.75 = 311,649.75 : x
  2. Step 2: Convert to fraction form
    143,364.38/311,649.75 = 311,649.75/x
  3. Step 3: Cross multiply
    143,364.38x = 311,649.75 × 311,649.75
  4. Step 4: Simplify right side
    143,364.38x = 97,125,566,675.06
  5. Step 5: Solve for x
    x = 97,125,566,675.06/143,364.38
  6. Step 6: Final answer
    x = 677,473.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.