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Finding the Third Proportional to 179,024 and 389,996

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Solution

The third proportional to 179,024 and 389,996 is: 849,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,024 : 389,996 = 389,996 : x
  2. Step 2: Convert to fraction form
    179,024/389,996 = 389,996/x
  3. Step 3: Cross multiply
    179,024x = 389,996 × 389,996
  4. Step 4: Simplify right side
    179,024x = 152,096,880,016
  5. Step 5: Solve for x
    x = 152,096,880,016/179,024
  6. Step 6: Final answer
    x = 849,589.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.