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Finding the Third Proportional to 176,046 and 239,190

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Solution

The third proportional to 176,046 and 239,190 is: 324,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,046 : 239,190 = 239,190 : x
  2. Step 2: Convert to fraction form
    176,046/239,190 = 239,190/x
  3. Step 3: Cross multiply
    176,046x = 239,190 × 239,190
  4. Step 4: Simplify right side
    176,046x = 57,211,856,100
  5. Step 5: Solve for x
    x = 57,211,856,100/176,046
  6. Step 6: Final answer
    x = 324,982.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.