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Finding the Third Proportional to 101,341 and 234,581

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Solution

The third proportional to 101,341 and 234,581 is: 543,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,341 : 234,581 = 234,581 : x
  2. Step 2: Convert to fraction form
    101,341/234,581 = 234,581/x
  3. Step 3: Cross multiply
    101,341x = 234,581 × 234,581
  4. Step 4: Simplify right side
    101,341x = 55,028,245,561
  5. Step 5: Solve for x
    x = 55,028,245,561/101,341
  6. Step 6: Final answer
    x = 543,000.81

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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.