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Finding the Third Proportional to 221,568 and 343,731

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Solution

The third proportional to 221,568 and 343,731 is: 533,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,568 : 343,731 = 343,731 : x
  2. Step 2: Convert to fraction form
    221,568/343,731 = 343,731/x
  3. Step 3: Cross multiply
    221,568x = 343,731 × 343,731
  4. Step 4: Simplify right side
    221,568x = 118,151,000,361
  5. Step 5: Solve for x
    x = 118,151,000,361/221,568
  6. Step 6: Final answer
    x = 533,249.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.