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Finding the Third Proportional to 230,869 and 324,263

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Solution

The third proportional to 230,869 and 324,263 is: 455,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,869 : 324,263 = 324,263 : x
  2. Step 2: Convert to fraction form
    230,869/324,263 = 324,263/x
  3. Step 3: Cross multiply
    230,869x = 324,263 × 324,263
  4. Step 4: Simplify right side
    230,869x = 105,146,493,169
  5. Step 5: Solve for x
    x = 105,146,493,169/230,869
  6. Step 6: Final answer
    x = 455,437.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.