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Finding the Third Proportional to 109,481 and 235,848

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Solution

The third proportional to 109,481 and 235,848 is: 508,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481 : 235,848 = 235,848 : x
  2. Step 2: Convert to fraction form
    109,481/235,848 = 235,848/x
  3. Step 3: Cross multiply
    109,481x = 235,848 × 235,848
  4. Step 4: Simplify right side
    109,481x = 55,624,279,104
  5. Step 5: Solve for x
    x = 55,624,279,104/109,481
  6. Step 6: Final answer
    x = 508,072.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.