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Finding the Third Proportional to 174,911 and 270,096

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Solution

The third proportional to 174,911 and 270,096 is: 417,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911 : 270,096 = 270,096 : x
  2. Step 2: Convert to fraction form
    174,911/270,096 = 270,096/x
  3. Step 3: Cross multiply
    174,911x = 270,096 × 270,096
  4. Step 4: Simplify right side
    174,911x = 72,951,849,216
  5. Step 5: Solve for x
    x = 72,951,849,216/174,911
  6. Step 6: Final answer
    x = 417,079.82

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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.