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Finding the Third Proportional to 101,397 and 234,727

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Solution

The third proportional to 101,397 and 234,727 is: 543,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,397 : 234,727 = 234,727 : x
  2. Step 2: Convert to fraction form
    101,397/234,727 = 234,727/x
  3. Step 3: Cross multiply
    101,397x = 234,727 × 234,727
  4. Step 4: Simplify right side
    101,397x = 55,096,764,529
  5. Step 5: Solve for x
    x = 55,096,764,529/101,397
  6. Step 6: Final answer
    x = 543,376.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.