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Finding the Third Proportional to 132,018.50 and 311,341.25

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Solution

The third proportional to 132,018.50 and 311,341.25 is: 734,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,018.50 : 311,341.25 = 311,341.25 : x
  2. Step 2: Convert to fraction form
    132,018.50/311,341.25 = 311,341.25/x
  3. Step 3: Cross multiply
    132,018.50x = 311,341.25 × 311,341.25
  4. Step 4: Simplify right side
    132,018.50x = 96,933,373,951.56
  5. Step 5: Solve for x
    x = 96,933,373,951.56/132,018.50
  6. Step 6: Final answer
    x = 734,240.84

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.