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Finding the Third Proportional to 170,216 and 269,404

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Solution

The third proportional to 170,216 and 269,404 is: 426,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,216 : 269,404 = 269,404 : x
  2. Step 2: Convert to fraction form
    170,216/269,404 = 269,404/x
  3. Step 3: Cross multiply
    170,216x = 269,404 × 269,404
  4. Step 4: Simplify right side
    170,216x = 72,578,515,216
  5. Step 5: Solve for x
    x = 72,578,515,216/170,216
  6. Step 6: Final answer
    x = 426,390.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.