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Finding the Third Proportional to 143,806.50 and 311,411.50

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Solution

The third proportional to 143,806.50 and 311,411.50 is: 674,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,806.50 : 311,411.50 = 311,411.50 : x
  2. Step 2: Convert to fraction form
    143,806.50/311,411.50 = 311,411.50/x
  3. Step 3: Cross multiply
    143,806.50x = 311,411.50 × 311,411.50
  4. Step 4: Simplify right side
    143,806.50x = 96,977,122,332.25
  5. Step 5: Solve for x
    x = 96,977,122,332.25/143,806.50
  6. Step 6: Final answer
    x = 674,358.41

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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.