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Finding the Third Proportional to 174,456 and 268,524

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Solution

The third proportional to 174,456 and 268,524 is: 413,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,456 : 268,524 = 268,524 : x
  2. Step 2: Convert to fraction form
    174,456/268,524 = 268,524/x
  3. Step 3: Cross multiply
    174,456x = 268,524 × 268,524
  4. Step 4: Simplify right side
    174,456x = 72,105,138,576
  5. Step 5: Solve for x
    x = 72,105,138,576/174,456
  6. Step 6: Final answer
    x = 413,314.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.