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Finding the Third Proportional to 231,903 and 338,013

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Solution

The third proportional to 231,903 and 338,013 is: 492,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,903 : 338,013 = 338,013 : x
  2. Step 2: Convert to fraction form
    231,903/338,013 = 338,013/x
  3. Step 3: Cross multiply
    231,903x = 338,013 × 338,013
  4. Step 4: Simplify right side
    231,903x = 114,252,788,169
  5. Step 5: Solve for x
    x = 114,252,788,169/231,903
  6. Step 6: Final answer
    x = 492,674.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.