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Finding the Third Proportional to 216,082 and 341,881

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Solution

The third proportional to 216,082 and 341,881 is: 540,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,082 : 341,881 = 341,881 : x
  2. Step 2: Convert to fraction form
    216,082/341,881 = 341,881/x
  3. Step 3: Cross multiply
    216,082x = 341,881 × 341,881
  4. Step 4: Simplify right side
    216,082x = 116,882,618,161
  5. Step 5: Solve for x
    x = 116,882,618,161/216,082
  6. Step 6: Final answer
    x = 540,917.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.