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Finding the Third Proportional to 101,244 and 234,381

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Solution

The third proportional to 101,244 and 234,381 is: 542,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,244 : 234,381 = 234,381 : x
  2. Step 2: Convert to fraction form
    101,244/234,381 = 234,381/x
  3. Step 3: Cross multiply
    101,244x = 234,381 × 234,381
  4. Step 4: Simplify right side
    101,244x = 54,934,453,161
  5. Step 5: Solve for x
    x = 54,934,453,161/101,244
  6. Step 6: Final answer
    x = 542,594.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.