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Finding the Third Proportional to 174,534 and 268,665

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Solution

The third proportional to 174,534 and 268,665 is: 413,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,534 : 268,665 = 268,665 : x
  2. Step 2: Convert to fraction form
    174,534/268,665 = 268,665/x
  3. Step 3: Cross multiply
    174,534x = 268,665 × 268,665
  4. Step 4: Simplify right side
    174,534x = 72,180,882,225
  5. Step 5: Solve for x
    x = 72,180,882,225/174,534
  6. Step 6: Final answer
    x = 413,563.44

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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.