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Finding the Third Proportional to 179,272 and 382,096

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Solution

The third proportional to 179,272 and 382,096 is: 814,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,272 : 382,096 = 382,096 : x
  2. Step 2: Convert to fraction form
    179,272/382,096 = 382,096/x
  3. Step 3: Cross multiply
    179,272x = 382,096 × 382,096
  4. Step 4: Simplify right side
    179,272x = 145,997,353,216
  5. Step 5: Solve for x
    x = 145,997,353,216/179,272
  6. Step 6: Final answer
    x = 814,390.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.