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Finding the Third Proportional to 103,744 and 211,298

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Solution

The third proportional to 103,744 and 211,298 is: 430,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,744 : 211,298 = 211,298 : x
  2. Step 2: Convert to fraction form
    103,744/211,298 = 211,298/x
  3. Step 3: Cross multiply
    103,744x = 211,298 × 211,298
  4. Step 4: Simplify right side
    103,744x = 44,646,844,804
  5. Step 5: Solve for x
    x = 44,646,844,804/103,744
  6. Step 6: Final answer
    x = 430,355.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.