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Finding the Third Proportional to 211,837 and 296,298

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Solution

The third proportional to 211,837 and 296,298 is: 414,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,837 : 296,298 = 296,298 : x
  2. Step 2: Convert to fraction form
    211,837/296,298 = 296,298/x
  3. Step 3: Cross multiply
    211,837x = 296,298 × 296,298
  4. Step 4: Simplify right side
    211,837x = 87,792,504,804
  5. Step 5: Solve for x
    x = 87,792,504,804/211,837
  6. Step 6: Final answer
    x = 414,434.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.