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Finding the Third Proportional to 170,228 and 269,423

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Solution

The third proportional to 170,228 and 269,423 is: 426,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,228 : 269,423 = 269,423 : x
  2. Step 2: Convert to fraction form
    170,228/269,423 = 269,423/x
  3. Step 3: Cross multiply
    170,228x = 269,423 × 269,423
  4. Step 4: Simplify right side
    170,228x = 72,588,752,929
  5. Step 5: Solve for x
    x = 72,588,752,929/170,228
  6. Step 6: Final answer
    x = 426,420.76

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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.