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Finding the Third Proportional to 174,334 and 268,108

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Solution

The third proportional to 174,334 and 268,108 is: 412,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,334 : 268,108 = 268,108 : x
  2. Step 2: Convert to fraction form
    174,334/268,108 = 268,108/x
  3. Step 3: Cross multiply
    174,334x = 268,108 × 268,108
  4. Step 4: Simplify right side
    174,334x = 71,881,899,664
  5. Step 5: Solve for x
    x = 71,881,899,664/174,334
  6. Step 6: Final answer
    x = 412,322.90

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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.