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Finding the Third Proportional to 231,392 and 350,000

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Solution

The third proportional to 231,392 and 350,000 is: 529,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,392 : 350,000 = 350,000 : x
  2. Step 2: Convert to fraction form
    231,392/350,000 = 350,000/x
  3. Step 3: Cross multiply
    231,392x = 350,000 × 350,000
  4. Step 4: Simplify right side
    231,392x = 122,500,000,000
  5. Step 5: Solve for x
    x = 122,500,000,000/231,392
  6. Step 6: Final answer
    x = 529,404.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.