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Finding the Third Proportional to 231,314.25 and 345,052.50

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Solution

The third proportional to 231,314.25 and 345,052.50 is: 514,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,314.25 : 345,052.50 = 345,052.50 : x
  2. Step 2: Convert to fraction form
    231,314.25/345,052.50 = 345,052.50/x
  3. Step 3: Cross multiply
    231,314.25x = 345,052.50 × 345,052.50
  4. Step 4: Simplify right side
    231,314.25x = 119,061,227,756.25
  5. Step 5: Solve for x
    x = 119,061,227,756.25/231,314.25
  6. Step 6: Final answer
    x = 514,716.36

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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.