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Finding the Third Proportional to 245,812 and 367,152

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Solution

The third proportional to 245,812 and 367,152 is: 548,388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,812 : 367,152 = 367,152 : x
  2. Step 2: Convert to fraction form
    245,812/367,152 = 367,152/x
  3. Step 3: Cross multiply
    245,812x = 367,152 × 367,152
  4. Step 4: Simplify right side
    245,812x = 134,800,591,104
  5. Step 5: Solve for x
    x = 134,800,591,104/245,812
  6. Step 6: Final answer
    x = 548,388.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.