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Finding the Third Proportional to 143,950.50 and 211,713

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Solution

The third proportional to 143,950.50 and 211,713 is: 311,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,950.50 : 211,713 = 211,713 : x
  2. Step 2: Convert to fraction form
    143,950.50/211,713 = 211,713/x
  3. Step 3: Cross multiply
    143,950.50x = 211,713 × 211,713
  4. Step 4: Simplify right side
    143,950.50x = 44,822,394,369
  5. Step 5: Solve for x
    x = 44,822,394,369/143,950.50
  6. Step 6: Final answer
    x = 311,373.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.