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Finding the Third Proportional to 231,912 and 330,750

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Solution

The third proportional to 231,912 and 330,750 is: 471,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,912 : 330,750 = 330,750 : x
  2. Step 2: Convert to fraction form
    231,912/330,750 = 330,750/x
  3. Step 3: Cross multiply
    231,912x = 330,750 × 330,750
  4. Step 4: Simplify right side
    231,912x = 109,395,562,500
  5. Step 5: Solve for x
    x = 109,395,562,500/231,912
  6. Step 6: Final answer
    x = 471,711.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.