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Finding the Third Proportional to 176,024 and 415,120

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Solution

The third proportional to 176,024 and 415,120 is: 978,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,024 : 415,120 = 415,120 : x
  2. Step 2: Convert to fraction form
    176,024/415,120 = 415,120/x
  3. Step 3: Cross multiply
    176,024x = 415,120 × 415,120
  4. Step 4: Simplify right side
    176,024x = 172,324,614,400
  5. Step 5: Solve for x
    x = 172,324,614,400/176,024
  6. Step 6: Final answer
    x = 978,983.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.