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Finding the Third Proportional to 245,568 and 379,200

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Solution

The third proportional to 245,568 and 379,200 is: 585,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,568 : 379,200 = 379,200 : x
  2. Step 2: Convert to fraction form
    245,568/379,200 = 379,200/x
  3. Step 3: Cross multiply
    245,568x = 379,200 × 379,200
  4. Step 4: Simplify right side
    245,568x = 143,792,640,000
  5. Step 5: Solve for x
    x = 143,792,640,000/245,568
  6. Step 6: Final answer
    x = 585,551.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.