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Finding the Third Proportional to 101,378 and 234,945

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Solution

The third proportional to 101,378 and 234,945 is: 544,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378 : 234,945 = 234,945 : x
  2. Step 2: Convert to fraction form
    101,378/234,945 = 234,945/x
  3. Step 3: Cross multiply
    101,378x = 234,945 × 234,945
  4. Step 4: Simplify right side
    101,378x = 55,199,153,025
  5. Step 5: Solve for x
    x = 55,199,153,025/101,378
  6. Step 6: Final answer
    x = 544,488.48

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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.