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Finding the Third Proportional to 143,972 and 217,254

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Solution

The third proportional to 143,972 and 217,254 is: 327,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,972 : 217,254 = 217,254 : x
  2. Step 2: Convert to fraction form
    143,972/217,254 = 217,254/x
  3. Step 3: Cross multiply
    143,972x = 217,254 × 217,254
  4. Step 4: Simplify right side
    143,972x = 47,199,300,516
  5. Step 5: Solve for x
    x = 47,199,300,516/143,972
  6. Step 6: Final answer
    x = 327,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.