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Finding the Third Proportional to 237,910 and 347,368

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Solution

The third proportional to 237,910 and 347,368 is: 507,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,910 : 347,368 = 347,368 : x
  2. Step 2: Convert to fraction form
    237,910/347,368 = 347,368/x
  3. Step 3: Cross multiply
    237,910x = 347,368 × 347,368
  4. Step 4: Simplify right side
    237,910x = 120,664,527,424
  5. Step 5: Solve for x
    x = 120,664,527,424/237,910
  6. Step 6: Final answer
    x = 507,185.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.