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Finding the Third Proportional to 134,568 and 275,355

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Solution

The third proportional to 134,568 and 275,355 is: 563,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,568 : 275,355 = 275,355 : x
  2. Step 2: Convert to fraction form
    134,568/275,355 = 275,355/x
  3. Step 3: Cross multiply
    134,568x = 275,355 × 275,355
  4. Step 4: Simplify right side
    134,568x = 75,820,376,025
  5. Step 5: Solve for x
    x = 75,820,376,025/134,568
  6. Step 6: Final answer
    x = 563,435.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.