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Finding the Third Proportional to 109,396 and 226,383

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Solution

The third proportional to 109,396 and 226,383 is: 468,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,396 : 226,383 = 226,383 : x
  2. Step 2: Convert to fraction form
    109,396/226,383 = 226,383/x
  3. Step 3: Cross multiply
    109,396x = 226,383 × 226,383
  4. Step 4: Simplify right side
    109,396x = 51,249,262,689
  5. Step 5: Solve for x
    x = 51,249,262,689/109,396
  6. Step 6: Final answer
    x = 468,474.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.