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Finding the Third Proportional to 231,353 and 348,035

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Solution

The third proportional to 231,353 and 348,035 is: 523,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,353 : 348,035 = 348,035 : x
  2. Step 2: Convert to fraction form
    231,353/348,035 = 348,035/x
  3. Step 3: Cross multiply
    231,353x = 348,035 × 348,035
  4. Step 4: Simplify right side
    231,353x = 121,128,361,225
  5. Step 5: Solve for x
    x = 121,128,361,225/231,353
  6. Step 6: Final answer
    x = 523,565.12

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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.