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Finding the Third Proportional to 231,014 and 345,562

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Solution

The third proportional to 231,014 and 345,562 is: 516,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,014 : 345,562 = 345,562 : x
  2. Step 2: Convert to fraction form
    231,014/345,562 = 345,562/x
  3. Step 3: Cross multiply
    231,014x = 345,562 × 345,562
  4. Step 4: Simplify right side
    231,014x = 119,413,095,844
  5. Step 5: Solve for x
    x = 119,413,095,844/231,014
  6. Step 6: Final answer
    x = 516,908.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.