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Finding the Third Proportional to 140,232 and 301,848

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Solution

The third proportional to 140,232 and 301,848 is: 649,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,232 : 301,848 = 301,848 : x
  2. Step 2: Convert to fraction form
    140,232/301,848 = 301,848/x
  3. Step 3: Cross multiply
    140,232x = 301,848 × 301,848
  4. Step 4: Simplify right side
    140,232x = 91,112,215,104
  5. Step 5: Solve for x
    x = 91,112,215,104/140,232
  6. Step 6: Final answer
    x = 649,724.85

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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.