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Finding the Third Proportional to 245,268 and 347,814

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Solution

The third proportional to 245,268 and 347,814 is: 493,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,268 : 347,814 = 347,814 : x
  2. Step 2: Convert to fraction form
    245,268/347,814 = 347,814/x
  3. Step 3: Cross multiply
    245,268x = 347,814 × 347,814
  4. Step 4: Simplify right side
    245,268x = 120,974,578,596
  5. Step 5: Solve for x
    x = 120,974,578,596/245,268
  6. Step 6: Final answer
    x = 493,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.