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Finding the Third Proportional to 231,322 and 345,063

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Solution

The third proportional to 231,322 and 345,063 is: 514,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,322 : 345,063 = 345,063 : x
  2. Step 2: Convert to fraction form
    231,322/345,063 = 345,063/x
  3. Step 3: Cross multiply
    231,322x = 345,063 × 345,063
  4. Step 4: Simplify right side
    231,322x = 119,068,473,969
  5. Step 5: Solve for x
    x = 119,068,473,969/231,322
  6. Step 6: Final answer
    x = 514,730.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.