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Finding the Third Proportional to 207,456 and 293,568

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Solution

The third proportional to 207,456 and 293,568 is: 415,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,456 : 293,568 = 293,568 : x
  2. Step 2: Convert to fraction form
    207,456/293,568 = 293,568/x
  3. Step 3: Cross multiply
    207,456x = 293,568 × 293,568
  4. Step 4: Simplify right side
    207,456x = 86,182,170,624
  5. Step 5: Solve for x
    x = 86,182,170,624/207,456
  6. Step 6: Final answer
    x = 415,423.85

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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.