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Finding the Third Proportional to 143,527.50 and 211,138.88

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Solution

The third proportional to 143,527.50 and 211,138.88 is: 310,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,527.50 : 211,138.88 = 211,138.88 : x
  2. Step 2: Convert to fraction form
    143,527.50/211,138.88 = 211,138.88/x
  3. Step 3: Cross multiply
    143,527.50x = 211,138.88 × 211,138.88
  4. Step 4: Simplify right side
    143,527.50x = 44,579,624,536.27
  5. Step 5: Solve for x
    x = 44,579,624,536.27/143,527.50
  6. Step 6: Final answer
    x = 310,599.88

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